Tangent to a parabola

JEE Main Mathematics · Parabola · 9 questions, latest first

• Let L_1, L_2 be the lines passing through the point P(0,1) and touching the parabola 9 x^2+12 x+18 y-14=0. Let Q and R be the…20246 April, Shift 1 · Q26
• Let a line perpendicular to the line 2 x-y=10 touch the parabola y^2=4(x-9) at the point P. The distance of the point P from the…20245 April, Shift 2 · Q27
• Let a common tangent to the curves y^2=4 x and (x-4)^2+y^2=16 touch the curves at the points P and Q. Then (P Q)^2 is equal to…202310 April, Shift 1 · Q29
• The ordinates of the points P and Q on the parabola with focus (3,0) and directrix x=-3 are in the ratio 3: 1. If R(α, β) is the…20238 April, Shift 2 · Q29
• Let the tangent to the curve x^2+2 x-4 y+9=0 at the point P(1,3) on it meet the y -axis at A. Let the line passing through P and…20236 April, Shift 1 · Q28
• Let A be a point on the x -axis. Common tangents are drawn from A to the curves x^2+y^2=8 and y^2=16 x. If one of these tangents…202330 January, Shift 2 · Q73
• The equations of two sides of a variable triangle are x=0 and y=3, and its third side is a tangent to the parabola y^2=6 x. The…202325 January, Shift 2 · Q73
• The distance of the point (6,-2 √2) from the common tangent y=mx+c, m>0, of the curves x=2 y^2 and x=1+y^2 is:202325 January, Shift 1 · Q72
• Let a tangent to the curve y^2=24 x meet the curve x y=2 at the points A and B. Then the mid points of such line segments AB lie…202324 January, Shift 1 · Q70