Home
Class 11
MATHS
If y1, y2, y3 be the ordinates of a ver...

If `y_1, y_2, y_3` be the ordinates of a vertices of the triangle inscribed in a parabola `y^2=4a x ,` then show that the area of the triangle is `1/(8a)|(y_1-y_2)(y_2-y_3)(y_3-y_1)|dot`

Promotional Banner

Similar Questions

Explore conceptually related problems

The coordinates of the ends of a focal chord of the parabola y^2=4a x are (x_1, y_1) and (x_2, y_2) . Then find the value of x_1x_2+y_1y_2 .

If y=2x-3 is tangent to the parabola y^2=4a(x-1/3), then a is equal to

Find the area of the figure bounded by the parabolas x=-2y^2, x=1-3y^2dot

Find the area bounded by the parabola y=x^2+1 and the straight line x+y=3.

Find the area of the triangle formed by the line x+y=3 and the angle bisectors of the pair of lines x^2-y^2+4y-4=0

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 area (in sq. units) bounded by the parabola y=x^2-1 , the tangent at the point (2,3) to it and the y-axis is

Using integration, find the area of the triangle with sides y = 2x +1, y = 3x + 1 and x = 4

If y+3=m_1(x+2) and y+3=m_2(x+2) are two tangents to the parabola y^2=8x , then

If P(x_1,y_1),Q(x_2,y_2),R(x_3,y_3) and S(x_4,y_4) are four concyclic points on the rectangular hyperbola and xy = c^2 , then coordinates of the orthocentre ofthe triangle PQR is