| 2023-03-21 | The centers of two circles \( C_{1} \) and \( C_{2} \) each of unit... | 5:15 | 3 | |
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| 2023-03-21 | A tangent \( P T \) is drawn to the circle \( x^{2}+y^{2}=4 \) at t... | 2:10 | 0 | |
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| 2023-03-21 | Let \( R S \) be the diameter of the circle \( x^{2}+y^{2}=1 \), wh... | 5:06 | 3 | |
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| 2023-03-21 | A circle \( S \) passes through the point \( (0,1) \) and is orthog... | 1:31 | 0 | |
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| 2023-03-21 | The circle passing through the point \( (-1,0) \) and touching
P th... | 2:33 | 0 | |
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| 2023-03-21 | The locus of the midpoint of the chord of contact of tangents drawn... | 2:42 | 7 | |
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| 2023-03-21 | Two circles are externally tangent. Lines \( P A B \) and \( P A^{\... | 4:04 | 5 | |
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| 2023-03-21 | The length of a common internal tangent to two circles is
P 7 and t... | 6:29 | 0 | |
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| 2023-03-21 | Let \( A \equiv(-4,0) \) and \( B \equiv(4,0) \). The number of poi... | 2:11 | 1 | |
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| 2023-03-21 | As shown in the figure, three circles which have the same radius \(... | 3:27 | 4 | Show |
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| 2023-03-21 | A circle \( x^{2}+y^{2}+4 x-2 \sqrt{2} y+c=0 \) is the director cir... | 2:12 | 1 | |
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| 2023-03-21 | The line \( 3 x+6 y=k \) intersects the the curve \( 2 x^{2}+2 x y+... | 4:38 | 0 | |
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| 2023-03-21 | The sum of the slopes of the lines tangent to both the circles \( x... | 1:12 | 0 | |
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| 2023-03-21 | If real numbers \( x \) and \( y \) satisfy \( (x+5)^{2}+(y-12)^{2}... | 4:31 | 0 | |
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| 2023-03-21 | The number of points \( P(x, y) \) lying inside or on the circle
\(... | 4:24 | 4 | |
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| 2023-03-21 | A circle \( S \) of radius 1 is inscribed in an equilateral triangl... | 7:25 | 1 | |
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| 2023-03-21 | Consider the family of circles \( x^{2}+y^{2}-2 x-2 \lambda y-8= \)... | 1:50 | 0 | |
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| 2023-03-21 | A circle \( S \) of radius 1 is inscribed in an equilateral triangl... | 6:45 | 0 | |
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| 2023-03-21 | Let \( x^{2}+y^{2}+2 g x+2 f y+c=0 \) be an equation of circle.
\( ... | 6:07 | 0 | |
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| 2023-03-21 | Let the lines \( (y-2)=m_{1}(x-5) \) and \( (y+4)= \)
P \( m_{2}(x-... | 2:38 | 2 | |
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| 2023-03-21 | Match the following lists:
\( \mathrm{P} \)
\begin{tabular}{|l|l|}
... | 3:56 | 1 | |
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| 2023-03-21 | Consider the family of circles \( x^{2}+y^{2}-2 x-2 a y-8=0 \) pass... | 5:45 | 0 | |
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| 2023-03-21 | Let \( A, B \) and \( C \) be three sets such that
\[
\begin{array}... | 2:15 | 4 | |
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| 2023-03-21 | Given two circles intersecting orthogonally having the length of
\(... | 5:27 | 0 | |
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| 2023-03-21 | Two variable chords \( A B \) and \( B C \) of a circle \( x^{2}+y^... | 5:20 | 0 | |
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| 2023-03-21 | Tangents \( P A \) and \( P B \) are drawn to the circle \( (x-4)^{... | 6:57 | 3 | |
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| 2023-03-21 | \( P \) is a variable point on the line \( L=0 \). Tangents are dra... | 6:42 | 0 | |
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| 2023-03-21 | Let \( \alpha \) chord of a circle be that chord of the circle whic... | 3:14 | 0 | Let's Play |
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| 2023-03-21 | To the circle \( x^{2}+y^{2}=4 \), two tangents are drawn from
P \(... | 4:14 | 0 | |
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| 2023-03-21 | Let \( \alpha \) chord of a circle be that chord of the circle whic... | 1:40 | 0 | Let's Play |
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| 2023-03-21 | To the circle \( x^{2}+y^{2}=4 \), two tangents are drawn from \( P... | 2:15 | 1 | |
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| 2023-03-21 | Two lines through \( (2,3) \) from which the circle \( x^{2}+y^{2}=... | 4:55 | 0 | |
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| 2023-03-21 | Tangents \( P A \) and \( P B \) are drawn to the circle \( (x-4)^{... | 4:30 | 1 | |
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| 2023-03-21 | Each side of a square has length 4 units and its center is at \( (3... | 3:51 | 3 | |
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| 2023-03-21 | Each side of a square has length 4 units and its center is at \( (3... | 6:46 | 0 | |
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| 2023-03-21 | Each side of a square has length 4 units and its center is at \( (3... | 5:18 | 0 | |
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| 2023-03-21 | Normal to the circle \( x^{2}+y^{2}=4 \) divides the circle having
... | 7:15 | 1 | |
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| 2023-03-21 | From an arbitrary point \( P \) on the circle \( x^{2}+y^{2}=9 \), ... | 7:24 | 1 | |
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| 2023-03-21 | The coordinates of the center of a circle, whose radius is
P 2 unit... | 4:11 | 2 | |
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| 2023-03-21 | Let \( A B \) be the chord of contact of the point \( (3,-3) \) w.r... | 3:01 | 7 | |
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| 2023-03-21 | If two distinct chords drawn from the point \( (p, q) \) on the
\( ... | 5:30 | 3 | |
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| 2023-03-21 | A square is inscribed in the circle \( x^{2}+y^{2}-2 x+4 y-93=0 \)
... | 6:19 | 0 | |
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| 2023-03-21 | The area bounded by the circles \( x^{2}+y^{2}=1, x^{2}+y^{2}=4 \),... | 3:34 | 0 | |
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| 2023-03-21 | If the chord \( y=m x+1 \) of the circles \( x^{2}+y^{2}=1 \) subte... | 2:56 | 2 | |
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| 2023-03-21 | The equation of a line inclined at an angle of \( \pi / 4 \) to the... | 6:45 | 3 | |
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| 2023-03-21 | A region in the \( x-y \) plane is bounded by the curve
P \( y=\sqr... | 2:22 | 1 | |
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| 2023-03-21 | The equation of the chord of the circle \( x^{2}+y^{2}-3 x-4 y-4 \)... | 2:52 | 0 | |
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| 2023-03-21 | The locus of the center of the circle touching the line
\( \mathrm{... | 2:56 | 0 | |
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| 2023-03-21 | A triangle is inscribed in a circle of radius 1 . The distance
\( \... | 1:32 | 1 | |
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| 2023-03-21 | From a point \( R(5,8) \), two tangents \( R P \) and \( R Q \) are... | 3:59 | 8 | |
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| 2023-03-21 | Let \( P \) be a point on the circle \( x^{2}+y^{2}=9, Q \) a point... | 3:35 | 0 | |
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| 2023-03-21 | If the conics whose equations are \( S \equiv \sin ^{2} \theta x^{2... | 5:25 | 3 | |
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| 2023-03-21 | The circle \( x^{2}+y^{2}=4 \) cuts the line joining the points \( ... | 4:39 | 2 | |
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| 2023-03-21 | The difference between the radii of the largest and
\( \mathrm{P} \... | 3:31 | 1 | |
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| 2023-03-21 | If a circle of constant radius \( 3 k \) passes through the origin
... | 4:19 | 0 | |
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| 2023-03-21 | If two lines represented by \( x^{4}+x^{3} y+c x^{2} y^{2}-x y^{3}+... | 3:43 | 1 | |
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| 2023-03-21 | The equations \( x-y=4 \) and \( x^{2}+4 x y+y^{2}=0 \) represent t... | 5:04 | 6 | |
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| 2023-03-21 | Match the following lists:
\begin{tabular}{|l|l|}
\hline \multicolu... | 11:52 | 3 | |
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| 2023-03-21 | A straight line \( L \) through the point \( (3,-2) \) is inclined ... | 4:40 | 1 | |
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| 2023-03-21 | Two sides of a rectangle are \( 3 x+4 y+5=0,4 x-3 y+15 \)
P \( =0 \... | 4:02 | 2 | |
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| 2023-03-21 | The line \( y=3 x / 4 \) meets the lines \( x-y+1=0 \) and \( 2 x-y... | 10:02 | 3 | |
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| 2023-03-21 | If \( 5 a+5 b+20 c=t \), then the value of \( t \) for which the li... | 4:31 | 0 | |
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| 2023-03-21 | Consider a \( \triangle A B C \) in which sides \( A B \) and \( A ... | 12:19 | 0 | |
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| 2023-03-21 | Consider the lines given by
P
\[
\begin{array}{l}
L_{1}: x+3 y-5=0 ... | 7:38 | 1 | |
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| 2023-03-21 | In a plane there are two families of lines: \( y=x+r, y \)
P \( =-x... | 5:08 | 1 | |
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| 2023-03-21 | Consider a \( \triangle A B C \) whose sides \( A B, B C \), and \(... | 4:54 | 1 | |
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| 2023-03-21 | Triangle \( A B C \) with \( A B=13, B C=5 \), and \( A C=12 \) sli... | 4:04 | 15 | |
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| 2023-03-21 | The number of values of \( k \) for which the lines \( (k+1) x+8 y ... | 4:06 | 0 | |
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| 2023-03-21 | Match the following lists:
P
\begin{tabular}{|l|c|}
\hline \multico... | 6:36 | 0 | |
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| 2023-03-21 | Two straight lines \( u=0 \) and \( v=0 \) pass through the origin ... | 5:59 | 3 | |
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| 2023-03-21 | \( \theta_{1} \) and \( \theta_{2} \) are the inclination of lines ... | 9:01 | 2 | |
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| 2023-03-21 | The base of an isosceles triangle measures 4 units andits base angl... | 11:39 | 0 | |
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| 2023-03-21 | Consider the points \( O(0,0), A(0,1) \), and \( B(1,1) \) in the \... | 10:36 | 0 | |
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| 2023-03-21 | Let \( u \equiv a x+b y+a \sqrt[3]{b}=0, v \equiv b x-a y+b \sqrt[3... | 5:14 | 1 | |
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| 2023-03-21 | Consider the lines \( L_{1} \equiv 3 x-4 y+2=0 \) and \( L_{2} \equ... | 5:16 | 1 | |
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| 2023-03-21 | A line is drawn perpendicular to line \( y=5 x \), meeting the coor... | 5:39 | 7 | |
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| 2023-03-21 | The equation of the lines on which the perpendiculars from the orig... | 4:24 | 2 | |
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| 2023-03-21 | If the straight line \( a x+c y=2 b \), where \( a, b, c0 \), makes... | 3:24 | 1 | |
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| 2023-03-21 | If two members of family \( (2+\lambda) x+(1+2 \lambda) y- \)
\( \m... | 9:05 | 3 | |
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| 2023-03-21 | The sides of a triangle are the straight lines \( x+y=1 \),
P \( 7 ... | 7:01 | 6 | |
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| 2023-03-21 | The lines \( x+2 y+3=0, x+2 y-7=0 \), and \( 2 x-y-4 \) \( =0 \) ar... | 4:23 | 0 | |
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| 2023-03-21 | For points \( P \equiv\left(x_{1}, y_{1}\right) \) and \( Q \equiv\... | 7:17 | 5 | |
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| 2023-03-21 | The line \( x+3 y-2=0 \) bisects the angle between a pair of
\( \ma... | 6:45 | 0 | |
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| 2023-03-21 | The set of lines \( x \tan ^{-1} a+y \sin ^{-1} \frac{1}{\sqrt{1+a^... | 3:29 | 3 | |
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| 2023-03-21 | Consider the triangle having vertices \( O(0,0), A(2,0) \), and \( ... | 8:55 | 1 | |
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| 2023-03-21 | For points \( P \equiv\left(x_{1}, y_{1}\right) \) and \( Q \equiv\... | 8:04 | 1 | |
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| 2023-03-21 | The angle between the diagonals of a quadrilateral formed
P by the ... | 4:59 | 40 | |
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| 2023-03-21 | Let \( P \equiv(-1,0), Q \equiv(0,0) \), and \( R \equiv(3,3 \sqrt{... | 3:14 | 0 | |
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| 2023-03-21 | For points \( P \equiv\left(x_{1}, y_{1}\right) \) and \( Q \equiv\... | 5:34 | 0 | |
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| 2023-03-21 | In an acute triangle \( A B C \), if the coordinates of orthocenter... | 5:55 | 0 | |
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| 2023-03-21 | The area of triangle \( A B C \) is \( 20 \mathrm{~cm}^{2} \). The ... | 6:06 | 0 | |
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| 2023-03-21 | Let \( 0 \equiv(0,0), A \equiv(0,4), B \equiv(6,0) \). Let \( P \) ... | 3:56 | 2 | |
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| 2023-03-21 | If \( (-6,-4),(3,5),(-2,1) \) are the vertices of a parallelogram, ... | 6:16 | 4 | Vlog |
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| 2023-03-21 | If \( (-4,0) \) and \( (1,-1) \) are two vertices of a triangle of ... | 5:09 | 0 | |
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| 2023-03-21 | In the given figure, \( O A B C \) is a rectangle. Slope of \( O B ... | 4:53 | 1 | |
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| 2023-03-21 | Consider a point \( A(m, n) \), where \( m \) and \( n \) are posit... | 5:49 | 0 | |
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| 2023-03-21 | If the equation of the locus of a point equidistant from the points... | 7:48 | 0 | |
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| 2023-03-21 | The foot of the perpendicular on the line \( 3 x+y=\lambda \) drawn... | 8:39 | 11 | |
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| 2023-03-21 | The image of \( P(a, b) \) on the line \( y=-x \) is \( Q \) and th... | 3:53 | 0 | |
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| 2023-03-21 | The locus of point of intersection of the lines \( y+m x=\sqrt{a^{2... | 5:41 | 1 | |
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