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CGP EDU Academic Team
Published on: August 14, 2026
If the line ax +by + c = 0 is a tangent to the parabola y 2 – 4y – 8x + 32 = 0, then –
Text Solution
Verified by ExpertsThe correct answer is:
A
ax + by + c = 0
y 2 – 4y – 8x + 32 = 0
x = – 
y 2 – 4y + 8 
+ 32 = 0
ay 2 – 4ay + 8by + 8c + 32 = 0
ay 2 + 4y(a – 2b) + 8(c + 4a) = 0
D = 0
16(a – 2b) 2 = 4a × 8 (c + 4a) = 0
a 2 + 4b 2 – 4ab = 2ac + 8a 2
4b 2 = 7a 2 + 2ac + 4ab
4b 2 = a(7a + 2c + 4b)
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