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CGP EDU Academic Team
Published on: August 13, 2026
If the equation of the parabola, whose vertex is at (5, 4) and the directrix is 3x + y-29=0, is x 2 +ay 2 +bxy+cx+dy+k=0 then a + b + c+d + k is equal to
Text Solution
Verified by ExpertsThe correct answer is:
D
Vertex (5,4)
Directrix:3x + y-29 = 0
Co-ordinates of B (foot of directrix)
x = 8, y = 5
S = (2, 3) (focus)
Equation of parabola
PS = PM
so equation is
x 2 + 9y 2 - 6xy + 134x - 2y - 711 = 0
a + b + c + d + k = 9-6+134-2-711 =-576
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