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The triangle formed by the tangent to the curve f(x) = x2 + bx - b at the point (1, 1) and the coordinate axes, lies in the first quadrant. If its area is 2, then the value of b is
  • a)
    -1
  • b)
    3
  • c)
    -3
  • d)
    1
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The triangle formed by the tangent to the curve f(x) = x2 + bx - b at ...
Tangent to y = x2 + bx – b at (1, 1) is
y – 1 = (2 + b) (x – 1) ⇒ (b + 2) x – y = b + 1

⇒ b2 + 2b + 1 = – 4 (b + 2) ⇒ b2 + 6b + 9 = 0
⇒ (b + 3)2 = 0 ⇒ b = – 3
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The triangle formed by the tangent to the curve f(x) = x2 + bx - b at the point (1, 1) and the coordinate axes, lies in the first quadrant. If its area is 2, then the value of b isa)-1b)3c)-3d)1Correct answer is option 'C'. Can you explain this answer?
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