JEE Advanced Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced

In each question, match every entry of Column I with the correct entry of Column II. (An entry of Column II may be used more than once.) Column I: (i) The number of sides of the quadrilateral formed by the lines that touch the circle is (ii) are orthogonal unit vectors and . Then equals (iii) A line having direction ratios is perpendicular to the plane , where , and is the origin. Then equals (iv) If the projection of the vector on the vector be then can have the value Column II: (a) (b) (c) (d)

Answer: (1)

Solution

**(i)** , so the sides are and , a square. The circle has centre and radius . The lines are at distance from the centre and touch it. passes through the centre and is at distance , so neither touches. That is 2 sides →

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Question ID VK-110293