The angle between a pair of tangents drawn from a point \( P \) to the circle \( x^{2}+y^{2}+4 x...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=-u2s7IQBlr4



Duration: 6:59
0 views
0


The angle between a pair of tangents drawn from a point \( P \) to the circle \( x^{2}+y^{2}+4 x-6 y+9 \sin ^{2} \alpha+13 \cos ^{2} \alpha=0 \) is \( 2 \alpha \). The equation of the locus of the point \( \mathrm{P} \) is
(a) \( x^{2}+y^{2}+4 x-6 y+4=0 \)
(b) \( x^{2}+y^{2}+4 x-6 y-9=0 \)
(c) \( x^{2}+y^{2}+4 x-6 y-4=0 \)
(d) \( x^{2}+y^{2}+4 x-6 y+9=0 \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-07-03If \( 2 x+y+k=0 \) is a normal to the parabola \( y^{2}=-8 x \), then the value of \( k \) is (a...
2023-07-03A tangent is drawn to the circle \( x^{2}+y^{2}+4 x+6 y-7=0 \) at the point \( (2,-1) \). The im...
2023-07-03The condition that the line \( \frac{x}{p}+\frac{y}{q}=1 \) be a normal to the parabola \( y^{2}...
2023-07-03Coordinates of the point on the straight line \( x+y=4 \), which is nearest to the parabola \( y...
2023-07-03Let \( a, b \) and \( c \) be the length of sides of a triangle \( A B C \) such that \( \frac{a...
2023-07-03The length of a focal chord of the parabola \( y^{2}=4 a x \) making an angle \( \theta \) with ...
2023-07-03If \( S \) be the focus of a parabola and \( P Q \) be the focal chord, such that \( S P=3 \) an...
2023-07-03Let \( G \) be a circle of radius \( R0 \). Let \( G_{1}, G_{2}, \ldots, G_{n} \) be n circles o...
2023-07-03Let \( L_{1} \) be a straight line passing through the origin and \( L_{2} \) be the straight li...
2023-07-03If two distinct chords, drawn from the point \( (p, q) \) on the circle \( x^{2}+y^{2}=p x+q y( ...
2023-07-03The angle between a pair of tangents drawn from a point \( P \) to the circle \( x^{2}+y^{2}+4 x...
2023-07-03Let \( C \) be a circle passing through the points \( A(2,-1) \) and \( B(3 \), 4). The line seg...
2023-07-03A circle touches both the \( y \)-axis and the line \( x+y=0 \). Then the locus of its center is...
2023-07-03A circle \( C_{1} \) passes through the origin \( O \) and has diameter 4 on the positive \( x \...
2023-07-03If the tangents drawn at the points \( O(0,0) \) and \( P(1+\sqrt{5}, 2) \) on the cirlce \( x^{...
2023-07-03The set of values of \( k \), for which the circle \( C: 4 x^{2}+4 y^{2}-12 x+8 y+k=0 \) lies in...
2023-07-03Let a circle \( C \) touch the lines \( L_{1}: 4 x-3 y+K_{1}=0 \) and \( L_{2}: 4 x-3 y+K_{2}=0,...
2023-07-03Let the tangent to the circle \( \mathrm{C}_{1} x^{2}+y^{2}=2 \) at the point \( M(-1 \), 1) int...
2023-07-03Let a triangle \( A B C \) be inscribed in the circle \( x^{2}-\sqrt{2}(x+y)+y^{2}=0 \) such tha...
2023-07-03For \( t \in(0,2 \pi) \), if \( A B C \) is an equilateral triangle with vertices \( A(\sin t,-\...
2023-07-03If the circle \( x^{2}+y^{2}-2 g x+6 y-19 c=0, g, c \in \mathbb{R} \) passes throught the point ...