the required value of is 1. m The correct answer is A. Q.22 The normal at the point (1, 1) on the curve 2y + = 3 is (A) + = 0 (B) = 0 x2 x y x y − (C) + + 1 = 0 (D) = 1 x y x y − The equation of the given curve is 2y + = 3. x2 Differentiating with respect to we have: x, 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. Q.23 The normal to the curve = 4y passing (1, 2) is (A) + = 3 (B) = 3 (C) + = 1 x2 x y x y x y − (D) = 1 x y − The equation of the given curve is = 4y. x2 Differentiating with respect to we have: x, The of the normal to the given curve at point (h, is given by, k) of the normal at point (h, is given as: k) ∴Equation Now, it is given that the normal passes through the point (1, 2). Therefore, we have:
the required value of m is 1. The correct answer is A. Q.22 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. Q.23 The normal to the curve x2 = 4y passing (1, 2) is (A) x + y = 3 (B) x − y = 3 (C) x + y = 1 (D) x − y = 1 The equation of the given curve is x2 = 4y. Differentiating with respect to x, we have: The of the normal to the given curve at point (h, k) is given by, ∴Equation of the normal at point (h, k) is given as: Now, it is given that the normal passes through the point (1, 2). Therefore, we have:
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