Let \( m_{1}, m_{2} \) be the slopes of two adjacent sides of a square of side a such that \( a^...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=Fa_LCmbiEa8



Duration: 22:42
8 views
0


Let \( m_{1}, m_{2} \) be the slopes of two adjacent sides of a square of side a such that
\( a^{2}+11 a+3\left(m_{1}^{2}+m_{2}^{2}\right)=220 \). If one vertex of the square is
\( (10(\cos \alpha-\sin \alpha), 10(\sin \alpha+\cos \alpha)) \), where \( \alpha \in\left(0, \frac{\pi}{2}\right) \)
and the equation of one diagonal is \( (\cos \alpha-\sin \alpha) x+(\sin \)
\( \alpha+\cos \alpha) y=10 \), then \( 72\left(\sin ^{4} \alpha+\cos ^{4} \alpha\right)+a^{2}-3 a+13 \) is
- equal to :
(a) 119
(b) 128
(c) 145
(d) 155
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-07-03The polar of the point \( (5,-1 / 2) \) w.r.t circle \( (x-2)^{2}+y^{2}=4 \) is (a) \( 5 x-10 y+...
2023-07-03Equation of a circle is \( x^{2}+y^{2}-12 x-16 y+19=0 \) find radius of the circle. (a) 5 (b) 9 ...
2023-07-03Let a triangle be bounded by the lines \( L_{1}: 2 x+5 y=10 \); \( L_{2}:-4 x+3 y=12 \) and the ...
2023-07-03A ray of light passing through the point \( P(2,3) \) reflects on the \( x \)-axis at point \( A...
2023-07-03Let \( A\left(\frac{3}{\sqrt{a}}, \sqrt{a}\right), a0 \), be a fixed point in the \( x y \)-plan...
2023-07-03The distance between the two points \( A \) and \( A^{\prime} \) which lie on \( y=2 \) such tha...
2023-07-03The distance of the origin from the centroid of the triangle whose two sides have the equations ...
2023-07-03The equations of the sides \( A B, B C \) and \( C A \) of a triangle \( A B C \) are \( 2 x+y=0...
2023-07-03A line, with the slope greater than one, passes through the point \( A(4,3) \) and intersects th...
2023-07-03Let the area of the triangle with vertices \( A(1, \alpha), B(\alpha, 0) \) and \( C(0, \alpha) ...
2023-07-03Let \( m_{1}, m_{2} \) be the slopes of two adjacent sides of a square of side a such that \( a^...
2023-07-03Let \( R \) be the point \( (3,7) \) and let \( P \) and \( Q \) be two points on the line \( x+...
2023-07-03Let \( \alpha_{1}, \alpha_{2}\left(\alpha_{1}\alpha_{2}\right) \) be the values of \( \alpha \) ...
2023-07-03The equations of the sides \( A B, B C \) and \( C A \) of a triangle \( A B C \) are \( 2 x+y=0...
2023-07-03A point \( P \) moves so that the sum of squares of its distances from the points \( (1,2) \) an...
2023-07-03Let \( A(\alpha,-2), B(\alpha, 6) \) and \( C(\alpha / 4,-2) \) be vertices of a \( \triangle A ...
2023-07-03If the locus of the mid-point of the line segment from the point \( (3,2) \) to a point on a cir...
2023-07-03The image of the point \( (3,5) \) in the line \( x-y+1=0 \), lies on (a) \( (x-2)^{2}+(y-4)^{2}...
2023-07-03The equation of one of the straight lines which passes through the point \( (1,3) \) and makes a...
2023-07-03Let the centroid of an equilateral triangle \( A B C \) be at the origin. Let one of the sides o...
2023-07-03Let the tangent to the circle \( x^{2}+y^{2}=25 \) at the point \( P(3,4) \) meet \( x \)-axis a...