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Class 11 Cbse Maths Sample Paper 2012
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### Assignment.pdf

1. Haramaya University College of Natural and Computational Sciences Department of Mathematics Mathematics for Social Science Assignment 1. Solve the inequality 2x2 − 5x − 12 ≥ 0. 2. If the roots of q(x) are r1 and r2 with r1 + r2 = −10 and r1r2 = 21. Find the quotient and remainder such that the polynomial P(x) = x4 + 5x3 − 10x + 20 divided by q(x). 3. Let f(x) = x−2 x2−5x+6 . Then find their domain, intercepts, asymptotes and sketch the graph of f(x). 4. Solve each of the following equations. (a) 24y+1 − 8y = 0. (b) 2 log √ x 9 − log6x−1 9 = 0 (c) 2e2x − 7ex = 15 5. Find the minor, cofactor, adjoint and inverse of the given matrix. 2 1 −3 1 −1 0 −2 1 4 ! 6. Let f(x) = 2x+1 x−1 . Then show that f is one to one and find its inverse. 7. Let f(x) = x−5 x+1 and g(x) = x+2 x−3 . Then find (a) (fog)(x) and its domain (b) (gof)(x) and its domain 8. Suppose A, B and C are square matrices with AB = 3C where C is a 3 × 3 scalar matrix whose trace is 6. If det(B) = 4, find det[3A−1 B2t C]. 9. If A has m rows and m + 5 columns and B has n rows and 11 − n columns, find m and n so that both products AB and BA exist. 10. Let A = x 0 0 9 −5 y z −4 8 ! Find the values of x, y and z when matrix A is (a) Symmetric (b) Skew-Symmetric 11. Find c such that the matrix A − cI2 is not invertible where A = 4 6 −1 −3 1
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