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The normal to the curve x^2=4ypassing (...

The normal to the curve `x^2=4y`passing (1,2) is(A) `x + y = 3` (B) `x y = 3` (C) `x + y = 1` (D) `x y = 1`

A

The length of sub-tangent to the curve `x^(2)y^(2) = 16 a^(4)` at the point (-2a, 2a) is 2a.

B

x + y = 3 is a normal to the curve `x^(2) = 4y`

C

Curves `y = -4x^(2) and y = e^(-x//2)` are orthogonal.

D

If `a in (-1, 0)`, then tangent at each point of the curve `y = (2)/(3) x^(3) - 2ax^(2) + 2x + 5` makes an acute angle with the positive direction of x-axis.

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The correct Answer is:
C
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DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
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  2. Show the condition that the curves a x^2+b y^2=1 and a^(prime)x^2+b^(p...

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  3. The normal to the curve x^2=4ypassing (1,2) is(A) x + y = 3 (B) x y ...

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  4. The shortest distance between the lines y-x=1 and the curve x=y^2 is

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