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The perpendicular from origin to the tangent at any point on a curve is equal to the obscissa ofthe point of contact. If the curve passes through point (1, 2), then it also passes through point,
  • a)
    (1,-2)
  • b)
    (1,3)
  • c)
    (2,3)
  • d)
    (-2,1)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The perpendicular from origin to the tangent at any point on a curve i...
A

Equation of tangent at 'P' is
putting y = vx
Solving Differential equation
It passes through (1,2) ⇒ C = 5
Equation of curve ≡ 
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The perpendicular from origin to the tangent at any point on a curve is equal to the obscissa ofthe point of contact. If the curve passes through point (1, 2), then it also passes through point,a)(1,-2)b)(1,3)c)(2,3)d)(-2,1)Correct answer is option 'A'. Can you explain this answer?
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