\( P\left(2 t^{2}, 4 t\right) \) is a point on the parabola \( y^{2}=8 x \) and \( Q(h, k) \) is.... VIDEO
\( P\left(2 t^{2}, 4 t\right) \) is a point on the parabola \( y^{2}=8 x \) and \( Q(h, k) \) is a point on the tangent at \( P \) and external to the circle \( x^{2}+y^{2}=8 \).
P
Answer the following questions.
If \( A B \) is the chord of contact of \( Q(h, k) \) with respect to the circle \( x^{2}+y^{2}=8 \), then the circumcentre of \( \triangle A Q B \) lies on the curve (when \( t=2 \) )
(1) \( x+2 y=4 \)
(2) \( x-2 y=4 \)
(3) \( 2 y=x+4 \)
(4) \( x+2 y+4=0 \)
š²PW App Link - https://bit.ly/YTAI_PWAP
šPW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-23 Match the items of Column I with those of Column II.
\begin{tabular}{|l|l|l|l|}
\hline \multicol.... 2024-01-23 The locus of the midpoints of the chord of the parabola \( 2 y^{2}=7 x \) which are parallel to .... 2024-01-23 The focus of the parabola \( x^{2}-\lambda y+3=0 \) is \( (0,2) \). Match the items of Column I .... 2024-01-23 The number of points at which the parabola \( y^{2}=4 \mathrm{x} \) and the circle \( x^{2}+y^{2.... 2024-01-23 The equation of the ellipse whose foci are \( ( \pm 3,0) \) and
eccentricity \( \frac{1}{3} \) i.... 2024-01-23 Match the items of Column I with those of Column II.
\begin{tabular}{|l|l|c|l|}
\hline \multicol.... 2024-01-23 The equation of the common tangents to the parabolas \( x^{2}=y \) and \( (x-2)^{2}=-y \) are-
(.... 2024-01-23 If \( x+y=a \) is normal to the parabola \( y^{2}=12 x \), then the value of \( a \) is equal to.... 2024-01-23 Consider the circle \( x^{2}+y^{2}=9 \) and the parabola \( y^{2}=8 x \). They intersect at \( P.... 2024-01-23 Slope of the common tangent of the curves \( y^{2}=8 x \) and \( x y=-1 \) is.... 2024-01-23 \( P\left(2 t^{2}, 4 t\right) \) is a point on the parabola \( y^{2}=8 x \) and \( Q(h, k) \) is.... 2024-01-23 Consider the circle \( x^{2}+y^{2}=9 \) and the parabola \( y^{2}=8 x \). They intersect at \( P.... 2024-01-23 The tangent \( P T \) and the normal \( P N \) to the parabola
\( y^{2}=4 a x \) at a point \( P.... 2024-01-23 Consider the circle \( C: x^{2}+y^{2}-6 y+4=0 \) and the
parabola \( P: y^{2}=x \). Then.... 2024-01-23 If \( C \) is a circle described on the focal chord of the parabola \( y^{2}=4 x \) as diameter .... 2024-01-23 \( P\left(2 t^{2}, 4 t\right) \) is a point on the parabola \( y^{2}=8 x \) and \( Q(h, k) \) is.... 2024-01-23 \( P\left(2 t^{2}, 4 t\right) \) is a point on the parabola \( y^{2}=8 x \) and \( Q(h, k) \) is.... 2024-01-23 Let \( A \) and \( B \) be two distinct points on the parabola \( y^{2} \) \( =4 x \). If the ax.... 2024-01-23 In the parabola \( y^{2}=4 x \), the tangent at the point \( P \), whose abscissa is equal to th.... 2024-01-23 \( P \) is a point on the directrix of the parabola \( y^{2}=4 a x \) and \( Q \) is the point o.... 2024-01-23 From point \( A \), common tangents are drawn to the
circle \( x^{2}+y^{2}=\frac{a^{2}}{2} \) an....