Let \( R \) be the point \( (3,7) \) and let \( P \) and \( Q \) be two points on the line \( x+... VIDEO
Let \( R \) be the point \( (3,7) \) and let \( P \) and \( Q \) be two points on the line \( x+y=5 \) such that \( P Q R \) is an equilateral triangle. Then the area of \( \triangle P Q R \) is:
(a) \( \frac{25}{4 \sqrt{3}} \)
(b) \( \frac{25 \sqrt{3}}{2} \)
(c) \( \frac{25}{\sqrt{3}} \)
(d) \( \frac{25}{2 \sqrt{3}} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-03 Let a triangle be bounded by the lines \( L_{1}: 2 x+5 y=10 \); \( L_{2}:-4 x+3 y=12 \) and the ... 2023-07-03 Statement I: Two points \( \mathrm{A}(10,0) \) and \( \mathrm{O}(0,0) \) are given and a circle ... 2023-07-03 Lines \( L_{1} \equiv a x+b y+c=0 \) and \( L_{2} \equiv l x+m y+n=0 \) intersect at the point \... 2023-07-03 Equation of a circle is \( x^{2}+y^{2}-12 x-16 y+19=0 \) find radius of the circle.
(a) 5
(b) 9
... 2023-07-03 Let \( m_{1}, m_{2} \) be the slopes of two adjacent sides of a square of side a such that
\( a^... 2023-07-03 Let \( A(1,1), B(-4,3), C(-2,-5) \) be vertices of a triangle \( A B C, P \) be a point on side ... 2023-07-03 Let \( A\left(\frac{3}{\sqrt{a}}, \sqrt{a}\right), a0 \), be a fixed point in the \( x y \)-plan... 2023-07-03 A ray of light passing through the point \( P(2,3) \) reflects on the \( x \)-axis at point \( A... 2023-07-03 The distance between the two points \( A \) and \( A^{\prime} \) which lie on \( y=2 \) such tha... 2023-07-03 The distance of the origin from the centroid of the triangle whose two sides have the equations ... 2023-07-03 Let \( R \) be the point \( (3,7) \) and let \( P \) and \( Q \) be two points on the line \( x+... 2023-07-03 The equations of the sides \( A B, B C \) and \( C A \) of a triangle \( A B C \) are \( 2 x+y=0... 2023-07-03 The equations of the sides \( A B, B C \) and \( C A \) of a triangle \( A B C \) are \( 2 x+y=0... 2023-07-03 Let \( \alpha_{1}, \alpha_{2}\left(\alpha_{1}\alpha_{2}\right) \) be the values of \( \alpha \) ... 2023-07-03 A line, with the slope greater than one, passes through the point \( A(4,3) \) and intersects th... 2023-07-03 A point \( P \) moves so that the sum of squares of its distances from the points \( (1,2) \) an... 2023-07-03 Let \( A(\alpha,-2), B(\alpha, 6) \) and \( C(\alpha / 4,-2) \) be vertices of a \( \triangle A ... 2023-07-03 If the locus of the mid-point of the line segment from the point \( (3,2) \) to a point on a cir... 2023-07-03 The image of the point \( (3,5) \) in the line \( x-y+1=0 \), lies on
(a) \( (x-2)^{2}+(y-4)^{2}... 2023-07-03 The intersection of three lines \( x-y=0, x+2 y=3 \) and \( 2 x+ \) \( y=6 \) is a
(a) Equilater... 2023-07-03 Let the tangent to the circle \( x^{2}+y^{2}=25 \) at the point \( P(3,4) \) meet \( x \)-axis a...