Let the abscissae of the two points \( P \) and \( Q \) on a circle be the roots of \( x^{2}-4 x...

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=piDiJqckKJs



Duration: 6:14
1 views
0


Let the abscissae of the two points \( P \) and \( Q \) on a circle be the roots of \( x^{2}-4 x-6=0 \) and the ordinates of \( P \) and \( Q \) be the roots of \( y^{2}+2 y-7=0 \). If \( P Q \) is a diameter of the circle \( x^{2}+y^{2}+2 a x+2 b y+c=0 \), then the value of \( (a+b-c) \) is
(a) 12
(b) 13
(c) 14
(d) 16
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


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 ...
2023-07-03Let \( C \) be the centre of the circle \( x^{2}+y^{2}-x+2 y=\frac{11}{4} \) and \( \mathrm{P} \...
2023-07-03Let the abscissae of the two points \( P \) and \( Q \) on a circle be the roots of \( x^{2}-4 x...
2023-07-03Let the tangents at two \( A \) and \( B \) on the circle \( x^{2}+y^{2}-4 x+3 \) \( =0 \) meet ...
2023-07-03Let a circle \( \mathrm{C}:(x-h)^{2}+(y-k)^{2}=r^{2}, k0 \), touch the \( x \)-axis at \( (1,0) ...
2023-07-03The line \( l x+m y+n=0 \) intersects the curve \( a x^{2}+2 h x y+ \) \( b y^{2}=1 \) at the po...
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,...
2023-07-03A circle touches both the \( y \)-axis and the line \( x+y=0 \). Then the locus of its center is...
2023-07-03Let \( 2 x^{2}+y^{2}-3 x y=0 \) be the equation of a pair of tangents drawn from the origin \( O...
2023-07-03The value of \( k \) for which the point \( (2 k+1, k-1) \) is an interior point of the smaller ...
2023-07-03Let the variable line \( a x+b y+c=0 \), where \( a, b, c \) are in arithmetic progression be no...
2023-07-03A circle touches the line \( y=x \) at a point \( P \) such that \( O P=4 \sqrt{2} \), where \( ...
2023-07-03Given that a right angled trapezium has an inscribed circle. Prove that the length of the right ...