If the lines 2x + 3y +12 = 0, x - yy + k = 0 are conjugate with respect to the parabola y2 = 8x, then k is equal to
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Find the equation to the parabola, whose axis parallel to they-axis and which passes through the points (0, 4), (1, 9) and (4, 5) is
y = - x2 + x + 4
y = - x2 + x + 1
A line segment AM = a moves in the XOY plane such that AM is parallel to the X-axis. If A moves along the circle x2 + y2 = a2, then the locus of M is
x2 + y2 = 4a2
x2 + y2 = 2ax
x2 + y2 = 2ay
x2 + y2 = 2ax + 2ay
If a chord of the parabola y = 4x passes through its focus and makes an angle 0 with the X-axis, then its length is
C.
Let P(t2, 2t) be the one end of a focal chord PQ of the parabola y2 = 4x, the coordinate of the other end Q are
If the straight line y = mx + c is parallel to the axis of the parabola y = bx and intersects the parabola at , then the length of the latus rectum is
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If the area of the triangle formed by the pair of lines 8x2 - 6xy + y2 = 0 and the line 2x + 3y = a is 7, then a is equal to
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