The equation of parabola whose vertex and focus lie on the axis of \( x \) at distances \( a \) ...
The equation of parabola whose vertex and focus lie on the axis of \( x \) at distances \( a \) and \( a_{1} \) from the origin
P respectively, is
W
(a) \( y^{2}=4\left(a_{1}-a\right) x \)
(b) \( y^{2}=4\left(a_{1}-a\right)(x-a) \)
(c) \( y^{2}=4\left(a_{1}-a\right)\left(x-a_{1}\right) \)
(d) \( y^{2}=4 a a_{1} x \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2022-12-02 | If \( a \neq 0 \) and the line \( 2 b x+3 c y+4 d=0 \) passes through the points of intersection... |
2022-12-02 | The slope of a chord of the parabola \( y^{2}=4 a x \) which is normal at one end and which subt... |
2022-12-02 | Let \( A \) and \( B \) be two points on a parabola \( y^{2}=x \) with vertex \( V \) such that ... |
2022-12-02 | \( A B C D \) and \( E F G C \) are squares and the curve \( y=\lambda \sqrt{x} \) passes throug... |
2022-12-02 | From the point \( P(-1,2) \) tangents are drawn to the parabola \( y^{2}=4 x \). Find the equati... |
2022-12-02 | If the normals at two points \( P \) and \( Q \) of a parabola \( y^{2}=4 a x \) intersect at a ... |
2022-12-02 | The normals at three points \( P, Q, R \) of the parabola \( y^{2}=4 a x \) meet in \( (h, k) \)... |
2022-12-02 | A chord of parabola \( y^{2}=4 \) ax subtends a right angle at the vertex. Find the locus of the... |
2022-12-02 | For narahnla \( x^{2}+y^{2}+2 x y-6 x-2 y+3=0 \), the focus is
(b) \( (-1,1) \)
(c) \( (3,1) \)
... |
2022-12-02 | Prove that any three tangents to a parabola whose slopes are in harmonic progression enclose a t... |
2022-12-02 | The equation of parabola whose vertex and focus lie on the axis of \( x \) at distances \( a \) ... |
2022-12-02 | A common tangent is drawn to the circle \( x^{2}+y^{2}=a^{2} \) and the parabola \( y^{2}=4 b x ... |
2022-12-02 | Find the equation of the normal to the parabola \( y^{2}=4 x \) which is
(a) parallel to the lin... |
2022-12-02 | The common tangent to the parabola \( y^{2}=4 a x \) and \( x^{2}=4 a y \) is
(a) \( x+y+a=0 \)
... |
2022-12-02 | The set of points on the axis of the parabola \( y^{2}-4 x-2 y+5=0 \) from which all the three n... |
2022-12-02 | The circle \( x^{2}+y^{2}+4 \lambda x=0 \) which \( \lambda \in R \) touches the parabola \( y^{... |
2022-12-02 | The equation \( a x^{2}+4 x y+y^{2}+a x+3 y+2=0 \) represents a parabola, then find the value of... |
2022-12-02 | Find the equation of the parabola whose axis is parallel to \( X \)-axis and which passes throug... |
2022-12-02 | Find the equation of the parabola whose focus is \( (5,3) \) and directrix is the line \( 3 x-4 ... |
2022-12-02 | If \( 2 x+y+\lambda=0 \) is a normal to the parabola \( y^{2}=-8 x \), then the value of \( \lam... |
2022-12-02 | The equation of the latusrectum of the parabola \( x^{2}+4 x+2 y=0 \) is
(a) \( 3 y-2=0 \)
(b) \... |