Question

Statement-I: The equation of the tangent to the curve \[ y=3x^2-5 \] drawn through the point \((1,2)\) is \[ y=6x-4. \] Statement-II: If \(L,M,N\) are respectively the lengths of tangent, normal and subnormal drawn to a curve at a point \((a,b)\), then \[ \frac{(L)(N)}{M}=b^2. \] Choose the correct option.

• A. Both statements I and II are correct
• B. Statement I is correct but statement II is not correct
• C. Statement I is not correct but statement II is correct
• D. Both statements I and II are not correct

Hint:

For statement-based questions, verify each statement independently before choosing the final option.

Answer 1

The Correct Option is A