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Class XI Maths Conic Section 1 - Parabola
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Question 1
The equation of normal in terms of slope m to the parabola (y – 2)2 = 4 (x – 3) is -
Question 2
Let the line lx + my = 1 cut the parabola y2 = 4ax in the points A and B. Normals at A and B meet at point C. Normal from C other than these two meet the parabola at D, then the coordinate of D are
Question 3
If the normal at three points (ap2, 2ap), (aq2, 2aq) and (ar2, 2ar) are concurrent then the common root of equations px2 + qx + r = 0 and a(b – c) x2 + b(c – a) x + c(a – b) = 0 is
Question 4
If a ≠ 0 and the line 2bx + 3cy + 4d = 0 passes through the points of intersection of the parabolas y2=4ax and x2=4ay, then
Question 5
The locus of the vertices of the family of parabolas is
Question 6
A parabola has the origin as its focus and the line x = 2 as the directrix. Then the vertex of the parabola is at
Question 7
If t1 and t2 be the ends of a focal chord of the parabola y2 = 4ax, then the equation t1x2 + ax + t2 = 0 has
Question 8
The length of a focal chord of the parabola y2 = 4ax at a distance b from the vertex is c. Then
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Jan 28JEE & BITSAT