Home
Class 11
MATHS
Consider the parabola y^2=4xdot Let A-=(...

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))`

Promotional Banner

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)=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

Points A, B, C lie on the parabola y^2=4ax The tangents to the parabola at A, B and C, taken in pair, intersect at points P, Q and R. Determine the ratio of the areas of the triangle ABC and triangle PQR

Let L be a normal to the parabola y^2=4xdot If L passes through the point (9, 6), then L is given by

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

In an equilateral triangle, three coins of radii 1 unit each are kept so that they touch each other and also the sides of the triangle. The area of the triangle is (fig) 4:2sqrt(3) (b) 6+4sqrt(3) 12+(7sqrt(3))/4 (d) 3+(7sqrt(3))/4

Let a parabola be y=12-x^2 . Find the maximum area of rectangle whose base lie on x-axis and two points lie on parabola. (A) 8 (B) 4 (C) 32 (D) 34

If a line y=3x+1 cuts the parabola x^2-4x-4y+20=0 at Aa n dB , then the tangent of the angle subtended by line segment A B at the origin is (8sqrt(3))/(205) (b) (8sqrt(3))/(209) (8sqrt(3))/(215) (d) none of these

Find the points of contact Q and R of a tangent from the point P(2,3) on the parabola y^2=4xdot

Double ordinate A B of the parabola y^2=4a x subtends an angle pi/2 at the focus of the parabola. Then the tangents drawn to the parabola at Aa n dB will intersect at (-4a ,0) (b) (-2a ,0) (-3a ,0) (d) none of these