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CGP EDU Academic Team
Published on: August 14, 2026
If the tangent to the curve y = x 3 - x 2 + x at the point (a, b) is also tangent to the curve y = 5x 2 + 2x - 25 at the point (2, -1), then |2a + 9b| is equal to ___________ .
Text Solution
Verified by ExpertsThe correct answer is:
195
(195)
y = 5x 2 + 2x-25 P(2,-1)
y’=10x+2
tangent to curve at P
y + 1 = 22 (x - 2)
y = 22x - 45
Hence 3a 2 - 2a + 1 = 22
3a 2 -2a-21=0
3a 2 - 9a + 7a - 21=0
(3a + 7) (a - 3) = 0
from curve b = a 3 –a 2 +a
a=3
b=21 |2a+9b|=195
at a = -7/3 tangent will be parallel
Hence it is rejected
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