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WBSSC Math(Pass) Mock Test 2

   Q1. Prove that the sum of the 99^th powers of the roots of the equation is zero.

   Q2. If is a root of the equation , then prove that will be a root of the equation .

          ().

   Q3. Show that the matrix      is orthogonal. Hence find .

   Q4. If in a group , (identity), , then prove that is abelian.

   Q5. Show that the straight line touches the conic if .

   Q6. Show that equation of the plane through the intersection of the planes and and

          perpendicular toplane is

   Q7. Show by vector method, that the angle in a semi-circle is a right angle.

   Q8. Proves that the curves and will cut orthogonally if .

   Q9. If , show that .

   Q10. Show that .

   Q11. Solve the differential equation .

   Q12. Find the initial basic feasible of the following Transportation problem Vogel’s Approximation Method (VAM),

   Q13.Compute the integral , by Simpson  rule taking four interval.

   Q14. A particle describes the curve under a force which is always parallel to the positive direction of the

            y- axis. Find the law of force.

   Q15. A speak truth in 60% of the cases and B in 90% of the cases. What is the probability that they are likely to contradict

           each other in stating the same fact?

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