Let O be the vertex of the parabola y2=4x and its chords OP and OQ are perpendicular to each other. If the locus of the midpoint of the line segment PQ is a conic C, then the length of its latus rectum is:
,
=2(h – 4)
L.R. = 2
If a straight line drawn through the point of intersection of the lines 4x+3y-1=
NextLet and , where inverse trigonometric functions take only the principal values.
Let f be a polynomial function such that , x > 0 , f(6) = 37then
MediumConsider the circle C : x2 + y2 – 6x – 8y – 11 = 0. Let a variable chord AB of the circle C subtend
MediumLet a line L1 pass through the origin and be perpendicular to the linesis the point on L3 at a dista
MediumIf then 9α is equal to_____.
MediumThe sum of squares of all real solution of the equationis equal to _______.
MediumLet represent an ellipse with major axis along the y-axis, where f is a strictly decreasing positive
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