Home
Class 12
MATHS
Find the locus of a point through which ...

Find the locus of a point through which pass three normals to the parabola `y^2=4ax` such that two of them make angles (alpha) and (beta) respectively with the axis such that tan`alpha`tan`beta`=2.

Promotional Banner

Similar Questions

Explore conceptually related problems

The locus of the point through which pass three normals to the parabola y^2=4ax , such that two of them make angles alpha&beta respectively with the axis & tanalpha *tanbeta = 2 is (a > 0)

The locus of point of intersection of two normals drawn to the parabola y^2 = 4ax which are at right angles is

At the point of intersection of the curves y^2=4ax" and "xy=c^2 , the tangents to the two curves make angles alpha" and "beta respectively with x-axis. Then tan alpha cot beta=

The locus of the point of intersection of the tangents to the parabola y^2 = 4ax which include an angle alpha is

If the normal at two points of the parabola y^2 = 4ax , meet on the parabola and make angles alpha and beta with the positive directions of x-axis, then tanalpha tanbeta = (A) -1 (B) -2 (C) 2 (D) a

If the lines px^2-qxy-y^2=0 makes the angles alpha and beta with X-axis , then the value of tan(alpha+beta) is

The locus of the point of intersection of two tangents to the parabola y^(2)=4ax which make complementary angles with the axis of the parabola is

Show that the focal chord, of parabola y^2 = 4ax , that makes an angle alpha with the x-axis is of length 4a cosec^2 alpha .

Show that (sin (alpha + beta))/( sin (alpha + beta)) = 2, given that tan alpha = 2 tan beta.

The locus of a point P(h, k) such that the slopes of three normals drawn to the parabola y^2=4ax from P be connected by the relation tan^(- 1)m_1^2+tan^(- 1)m_2^2+tan^(- 1)m_3^2=alpha is