Home
Class 12
MATHS
Let A(4,-4) and B(9,6) be points on the...

Let `A(4,-4)` and B(9,6) be points on the parabola `y^(2)=4x. ` Let C be chosen on the on the arc AOB of the parabola where O is the origin such that the area of `DeltaACB` is maximum. Then the area (in sq. units) of `DeltaACB` is :

A

`31(3)/(4)`

B

`32`

C

`30(1)/(2)`

D

`31(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE|Exercise Chapter 6 (Ellipse)|3 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 7 (Hyperbola)|7 Videos

  • JEE 2019

    CENGAGE|Exercise Chapter 4 (Circle)|9 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise All Questions|529 Videos

  • LIMITS

    CENGAGE|Exercise Question Bank|17 Videos

Similar Questions

Explore conceptually related problems

The axis of the parabola x^(2)=-4y is ……. .

Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixed points on the parabola. Let C be a moving point on the parabola between Aa n dB such that the area of the triangle A B C is maximum. Then the coordinates of C are (a) (1/4,1) (b) (4,4) (c) (3,2/(sqrt(3))) (d) (3,-2sqrt(3))

Find the points on the parabola y^2-2y-4x=0 whose focal length is 6.

Let A (0,2),B and C be points on parabola y^(2)+x +4 such that /_CBA (pi)/(2) . Then the range of ordinate of C is

Find the area of the parabola y^2=4ax and its latus rectum.

A line from (-1,0) intersects the parabola x^(2)= 4y at A and B. Then the locus of centroid of DeltaOAB is (where O is origin)

The vertex of the parabola y^2 + 4x = 0 is

Consider the parabola y^(2)=4x , let P and Q be two points (4,-4) and (9,6) on the parabola. Let R be a moving point on the arc of the parabola whose x-coordinate is between P and Q. If the maximum area of triangle PQR is K, then (4K)^(1//3) is equal to

Let S be the focus of the parabola y^2=8x and let PQ be the common chord of the circle x^2+y^2-2x-4y=0 and the given parabola. The area of the triangle PQS is -

The vertex of the parabola y^2 = 4x + 4y is