JEE Advanced questions
3844 published questions with worked solutions.
- The chord AB of the parabola y^2 = 4ax cuts the axis of the parabola at C. If A = (at_1^2, 2at_1), B = (at_2^2, 2at_2) and AC :...
- AB is a chord of the parabola y^2 = 4ax. If its equation is y = mx + c and it subtends a right angle at the vertex of the...
- If t_1 and t_2 are the ends of a focal chord of the parabola y^2 = 2x then
- A ray of light moving parallel to the x-axis gets reflected from a parabolic mirror whose equation is (y - 2)^2 = 4(x + 1). After...
- The equation of a parabola is y^2 = 4x. P(1, 3) and Q(1, 1) are two points in the x-y plane. Then, for the parabola
- The ends of a line segment are P(1, 3) and Q(1, 1). R is a point on the line segment PQ such that PR : QR = 1 : . If R is an...
- The number of distinct real tangents that can be drawn from (0, -2) to the parabola y^2 = 4x is
- The tangents to the parabola y^2 = 4x at the points (1, 2) and (4, 4) meet on the line
- The point of intersection of the tangents to the parabola y^2 = 4x at the points where the parameter t has the value 1 and 2, is
- The triangle formed by the tangents to a parabola y^2 = 4ax at the ends of the latus rectum and the double ordinate through the...
- If two tangents drawn from the point ( , ) to the parabola y^2 = 4x be such that the slope of one tangent is double of the other...
- The tangents from the origin to the parabola y^2 + 4 = 4x are inclined at
- If y + b = m_1(x+a) and y + b = m_2(x+a) are two tangents to the parabola y^2 = 4ax then
- The tangents to a parabola at the vertex V and any point P meet at Q. If S be the focus then SP, SQ, SV are in
- The equation of the common tangent to the equal parabolas y^2 = 4ax and x^2 = 4ay is
- 't_1' and 't_2' are two points on the parabola y^2 = 4x. If the chord joining them is a normal to the parabola at 't_1' then
- The normal to the curve x = at^2, y = 2at at the point P(t) meets the curve again at Q(t'). Then t' is
- The set of points on the axis of the parabola y^2 = 4x + 8 from which the 3 normals to the parabola are all real and different is
- The number of distinct normals that can be drawn from (-2, 1) to the parabola y^2 - 4x - 2y - 3 = 0 is
- If the line y = x + k is a normal to the parabola y^2 = 4x then k can have the value