New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Parabola question

2018 · 15 Apr · Shift 2 · Q34

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Parabola
2018 · 15 Apr · Shift 2 · Q34

Parabola question

2018 · 15 Apr · Shift 2 · Q34

JEE MainMathematicsParabolaMCQ+4 / −1

Tangents drawn from the point (

-

8, 0) to the parabola y2 = 8x touch the parabola at

P

and

Q.

If F is the focus of the parabola, then the area of the triangle PFQ (in sq. units) is equal to :

A
24
B
32
C
48
D
64

More from Parabola

Let $O$ be the vertex and $Q$ be any point on the parabola, $x^{2} = 8 y$ . If the point $1 : 3$ divides the line segment $O Q$ internally in the ratio $1 : 3$ , then locus of $P$ is :2015 · MCQ
If two tangents drawn from a point $P$ to the parabola $y^{2} = 4 x$ are at right angles, then the locus of $P$ is2010 · MCQ
A parabola has the origin as its focus and the line $x = 2$ as the directrix. Then the vertex of the parabola is at :2008 · MCQ
The locus of the vertices of the family of parabolas $y = \frac{a ^{3} x ^{2}}{3} + \frac{a ^{2} x}{2} - 2 a$ is :2006 · MCQ
Let $P$ be the point $Q$ and $Q$ a point on the parabola $y^{2} = 8 x$ . The locus of mid point of $P Q$ is :2005 · MCQ
If $a e 0$ and the line $2 b x + 3 cy + 4 d = 0$ passes through the points of intersection of the parabolas $y^{2} = 4 a x$ and $x^{2} = 4 a y$ , then :2004 · MCQ
Let the focal chord PQ of the parabola $y^{2} = 4 x$ make an angle of $6 0^{\circ}$ with the positive $x$ axis, where P lies in the first quadrant. If the circle, whose one diameter is PS, S being the focus of the parabola, touches the $y$ -axis…2025 · MCQ
Let the point P of the focal chord PQ of the parabola $y^{2} = 16 x$ be $(1, - 4)$ . If the focus of the parabola divides the chord $P Q$ in the ratio $m : n, gcd (m, n) = 1$ , then $m^{2} + n^{2}$ is equal to :2025 · MCQ