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**Q1. Let L _{1} be a straight line passing through the origin and L_{2} be the straight x + y = 1. If the intercepts made by the circle x^{2} + y^{2} - x + 3y = 0 on L_{1} on L_{2} are equal, then which of the following equation can represent L_{1} ?**

**(a) x + 7y = 0**

**(b) x - y = 0**

**(c) x - 7y = 0**

**(d) Both(a) and (b)**

**Q2. Let P =`[[3,-5],[7,-12]]` and Q = `[[12,-5],[7,-3]]` then incorrect about the matrix (PQ) ^{-1} -**

**Q3. The equation sin x + x cos x = 0 has at least one root in -**

**Q4. The area enclosed by the parabola y ^{2} = 12x and its latus rectum is - **

**Q5. Number 1, 2, 3, 4, 5, 6, 7, 8 and 9 taken all at a time are such that the digit. 1 appearing somewhere to the left of 2, 3 appearing to the left of 4 and 5 some where to the left of 6, is (e.g., 816723946 would be one such permutation)**