Home
Class 12
MATHS
The tangent to the parabola y=x^2 has be...

The tangent to the parabola `y=x^2` has been drawn so that the abscissa `x_0` of the point of tangency belongs to the interval [1,2]. Find `x_0` for which the triangle bounded by the tangent, the axis of ordinates, and the straight line `y=x_0^2` has the greatest area.

Promotional Banner

Similar Questions

Explore conceptually related problems

The area bounded by the line y=x, the x-axis , the ordinates x=1,x=2 is …. .

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

The area bounded between the parabolas x^(2)=(y)/(4) and x^(2)=9y and the straight line y=2 is

A tangent is drawn to the parabola y^2=4 x at the point P whose abscissa lies in the interval (1, 4). The maximum possible area of the triangle formed by the tangent at P , the ordinates of the point P , and the x-axis is equal to

Find the area bounded by 2y-3x-6=0 , x axis and the ordinates x=-1 and x=2 .

Find the area of the region bounded by the line y = 3x +2, the x-axis and the ordinates x = -1 and x = 1.

A tangent to the parabola y^2=8x makes an angle of 45^0 with the straight line y=3x+5. Then find one of the points of contact.

Find the area bounded by the curves x+2|y|=1 and x=0 .

The point of intersection of the tangents of the parabola y^(2)=4x drawn at the end point of the chord x+y=2 lies on

The area bounded by the parabola y = x^(2) and the line y = 2x is