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WBSSC Math(Pass) Mock Test 3

   Q1. Show that are in G.P.

   Q2. If the roots of the equation be in A.P., then show that the rank of the matrix

          is 2.

   Q3. Examine whether the mapping defined by is an injective mapping.

   Q4. Prove that the set of all integers form a commutative group with respect to defined by for all

        .

   Q5. When the axes turned through an angle, the expression becomes referred to new axes ; show that

          .

   Q6. If the concurrent lines with d.cs ; and are coplanar, prove that .

   Q7. If where is any positive integer, then show that .

   Q8. Integrate.

   Q9. Determine the area bounded by and its latus rectum.

   Q10. Find the differential equation of all circle which touches - axis at origin.

   Q11. Show by vector method that the medians of a triangle are concurrent.

   Q12. Show that the feasible solution to the system   is not basic.

   Q13. Using Trapezoidal Rule evaluate taking six ordinate.

   Q14. A shell bursts on striking the ground and scatters its fragments all with speed V. Find the total area covered by the

           fragments.

   Q15. The probabilities of solving a problem by three students A, B, C are if all of them try independently; find the

            probability that the problem could be solved.

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