Question(s) from Search: IIT

Select All	Search Results	Difficulty	Solution
1326	The function is not differentiable at a) – 1 b) 0 c) 1 d) 2 The function is not differentiable at a) – 1 b) 0 c) 1 d) 2	IIT 1999
1327	One or more than one correct option Let RS be a diameter of the circle x² + y² = 1 where S is the point (1, 0). Let P be a variable point (other than R and S) on the circle and the tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersect a line drawn through Q parallel to RS at a point E. Then the locus of E passes through the point(s) a) $(\frac{1}{3}, \frac{1}{\sqrt{3}})$ b) $({\frac{1}{4},}^{} \frac{1}{2})$ c) $(\frac{1}{3}, - \frac{1}{3})$ d) $(\frac{1}{4}, - \frac{1}{2})$ One or more than one correct option Let RS be a diameter of the circle x² + y² = 1 where S is the point (1, 0). Let P be a variable point (other than R and S) on the circle and the tangents to the circle at S and P meet at the point Q. The normal to the circle at P intersect a line drawn through Q parallel to RS at a point E. Then the locus of E passes through the point(s) a) $(\frac{1}{3}, \frac{1}{\sqrt{3}})$ b) $({\frac{1}{4},}^{} \frac{1}{2})$ c) $(\frac{1}{3}, - \frac{1}{3})$ d) $(\frac{1}{4}, - \frac{1}{2})$	IIT 2016

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