IIT-JEE Exam

The positive value of k for which kex -x = 0 has only one root is

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IIT-JEE Other Question

Lines L1 : y - x = 0 and L2 : 2x + y = 0 intersect the line L3 : y + 2 = 0 at P and Q, respectively. The bisector of the acute angle between L1 and L2 intersects L3 at R.
STATEMENT -1 : The ratio PR : RQ equals 2 2 : 5.
because
STATEMENT -2 : In any triangle, bisector of an angle divides the triangle into two similar triangles.
(A) Statement -1 is True, Statement -2 is true; Statement-2 is a correct explanation for Statement-1
(B) Statement -1 is True, Statement -2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C) Statement -1 is True, Statement -2 is False
(D) Statement -1 is False, Statement -2 is True
For k > 0, the set of all values of k for which k ex - x = 0 has two distinct roots is??