First slide

Parabola

Question

$P_{1} : y^{2} = 49 x$ and $P_{2} : x^{2} = 4 a y$ are two parabolas.
Equation of a tangent to the parabola $P_{1}$ at a point where it intersects the parabola $P_{2}$ is:

Moderate

A

$2 x - y - 4 a = 0$
B

$y = 0$
C

$x - 2 y + 4 a = 0$
D

$x - y = 0$

Solution

Two parabolas intersect at the points $(0, 0)$ and $(4 a, 4 a) .$
Equation of the tangent to $P_{1}$ at $(0, 0)$ is $x = 0$ and at $(4 a, 4 a)$ is
$y (4 a) = 2 a (x + 4 a)$
$\Rightarrow x - 2 y + 4 a = 0$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App