Parabola Test -...

Let A ≡ (9, 6), B(4, -4) be two points on parabola y² = 4x and P(t², 2t), t∈[-2, 3]  be a variable point on it such that area of DPAB is maximum, then point P will be 

Two tangents to the parabola y² = 4x, one drawn at a point P and another drawn at the point where the normal at the image of P in the axis of the parabola meets the curve again, include an angle 

If the chord joining the points t₁ and t₂ on the parabola y² = 4ax subtends a right angle at its vertex then t₂ =

The equation of the latusrectum of the parabola y² – 6y + 4x – 3 = 0 is

The equation of the latusrectum of the parabola y² – 6y + 4x – 3 = 0 is

If the line x – 1 = 0 is the directrix of the parabola y² – kx + 8 = 0, then one of the value of k is

The curve described parametrically by x = t² + t + 1, y = t² - t + 1 represents

The length of the latus rectum of the parabola 169{(x - 1)² + (y - 3)²} = (5x - 12y + 17)²} is

The angle between the tangents drawn from the point (3, 4) to the parabola y² - 2y + 4x = 0 is 

Equation of common tangent of parabola y² = 8x and x² + y = 0 is