JEE Advanced Mathematics question
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 line lies on the plane if is (ii) The latus rectum of the rectangular hyperbola is (iii) The line cutting a positive intercept 1 on the -axis will be a tangent to the curve if its slope is (iv) The lines and are intersecting lines if is Column II: (a) (b) (c) (d)
Answer: (4)
Solution
**(i)** The point satisfies the plane: . The line lies in the plane iff its direction is perpendicular to the normal: , so → **(b)**. - **(ii)** For the latus rectum is → **(d)**. - **(iii)** For
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