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

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

A

`(125)/(4)`

B

`(125)/(2)`

C

`(625)/(4)`

D

`(75)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

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 :

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))

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)

Let (x,y) be any point on the parabola y^2 = 4x . Let P be the point that divides the line segment from (0,0) and (x,y) n the ratio 1:3. Then the locus of P 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 A and B be two distinct points on the parabola y^2=4x . If the axis of the parabola touches a circle of radius r having AB as its diameter, then the slope of the line joining A and B can be

If a plane cuts off intercepts OA = a, OB = b, OC = c from the coordinate axes 9where 'O' is the origin). then the area of the triangle ABC 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 -