Let the variable line \( a x+b y+c=0 \), where \( a, b, c \) are in arithmetic progression be no... VIDEO
Let the variable line \( a x+b y+c=0 \), where \( a, b, c \) are in arithmetic progression be normal to a family of circles. If \( r \) be the radius of the circle of the family which intersects the circle \( x^{2}+y^{2}-4 x-4 y-1=0 \) orthogonally, then find the value of \( r^{2} \).
π²PW App Link - https://bit.ly/YTAI_PWAP
πPW Website - https://www.pw.live
Other Videos By PW Solutions 2023-07-03 Let \( C \) be the centre of the circle \( x^{2}+y^{2}-x+2 y=\frac{11}{4} \) and \( \mathrm{P} \... 2023-07-03 For \( t \in(0,2 \pi) \), if \( A B C \) is an equilateral triangle with vertices \( A(\sin t,-\... 2023-07-03 Let \( 2 x^{2}+y^{2}-3 x y=0 \) be the equation of a pair of tangents drawn from the origin \( O... 2023-07-03 Let the tangents at two \( A \) and \( B \) on the circle \( x^{2}+y^{2}-4 x+3 \) \( =0 \) meet ... 2023-07-03 A circle touches both the \( y \)-axis and the line \( x+y=0 \). Then the locus of its center is... 2023-07-03 Let 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,... 2023-07-03 The value of \( k \) for which the point \( (2 k+1, k-1) \) is an interior point of the smaller ... 2023-07-03 The line \( l x+m y+n=0 \) intersects the curve \( a x^{2}+2 h x y+ \) \( b y^{2}=1 \) at the po... 2023-07-03 Let a circle \( \mathrm{C}:(x-h)^{2}+(y-k)^{2}=r^{2}, k0 \), touch the \( x \)-axis at \( (1,0) ... 2023-07-03 A circle touches the line \( y=x \) at a point \( P \) such that \( O P=4 \sqrt{2} \), where \( ... 2023-07-03 Let the variable line \( a x+b y+c=0 \), where \( a, b, c \) are in arithmetic progression be no... 2023-07-03 Let \( E, F, G, H \) be 4 distinct points inside square \( A B C D \) whose area is 1 square uni... 2023-07-03 Consider a family of circles passing through two fixed points \( A(3,7) \& B(6,5) \). The the ch... 2023-07-03 The circle \( C: x^{2}+y^{2}+k x+(1+k) y-(k+1)=0 \) passes through the same two points for every... 2023-07-03 If the line \( x \sin \alpha-y+a \sec \alpha=0 \) touches the circle with radius \( a \) and c... 2023-07-03 Obtain the equations of the straight lines passing through the point \( A(2,0) \& \) making \( 4... 2023-07-03 Comprehension
Two circles \( \mathrm{S}_{1}: x^{2}+y^{2}-2 x- \) \( 2 y-7=0 \) and \( S_{2}: x^{... 2023-07-03 Comprehension
A circle \( C \) whose radius is 1 unit, touches the \( x \)-axis at point \( A \)... 2023-07-03 Comprehension
\( P \) is variable point on the line
\( L=0 \). Tangents are drawn to the circle ... 2023-07-03 Comprehension
To the circle \( x^{2}+y^{2}=4 \) two tangents are drawn from \( \mathrm{P}(-4,0) ... 2023-07-03 The area of region in \( x y \) plane consisting of all points \( (p, q) \) such that quadratic ...