The normal at the point (1, 1) on the curve 2y + x² = 3 is

(A) x + y = 0 (B) x − y = 0

(C) x + y + 1 = 0 (D) x − y = 1

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Solution

The equation of the given curve is 2y + x² = 3.

Differentiating with respect to x, we have:

The slope of the normal to the given curve at point (1, 1) is

Hence, the equation of the normal to the given curve at (1, 1) is given as:

The correct answer is B.

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Similar questions

Q. The normal at the point (1, 1) on the curve 2 y + x 2 = 3 is (A) x + y = 0 (B) x − y = 0 (C) x + y + 1 = 0 (D) x − y = 1

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Q. The equation of the normal to the curve y = x(2 − x) at the point (2, 0) is

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P (x, y)

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The normal at the point (1, 1) on the curve 2y + x2 = 3 is (A) x + y = 0 (B) x − y = 0 (C) x + y + 1 = 0 (D) x − y = 1

The equation of the given curve is 2y + x2 = 3. Differentiating with respect to x, we have: The slope of the normal to the given curve at point (1, 1) is Hence, the equation of the normal to the given curve at (1, 1) is given as: The correct answer is B.

The normal at the point (1, 1) on the curve 2y + x² = 3 is

(A) x + y = 0 (B) x − y = 0

(C) x + y + 1 = 0 (D) x − y = 1

The equation of the given curve is 2y + x² = 3.

Differentiating with respect to x, we have:

The slope of the normal to the given curve at point (1, 1) is

Hence, the equation of the normal to the given curve at (1, 1) is given as:

The correct answer is B.