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SECTION B

Questions number 11 to 15 carry 2 marks each.

Q. 11. On dividing x3 – 3x2 + x + 2 by a polynomial g(x), the quotient and remainder were x – 2 and – 2x + 4, respectively. Find g(x).

Sol . Dividend = Divisor X Quotient + Remainder

Q. 12. If tan (2A) = cot(A – 21°), where 2A is an acute angle, then find the value of A.

Sol :

Q. 13. If A(–2, 4), B(0, 0) and C(4, 2) are the vertices of a Δ ABC, then find the length of median through the vertexA.

Ans.

Sol .

Q. 14. If sin 3A = cos(A – 10°), then find the value of A, where 3A is an acute angle. 2

Sol . sin 3A = cos(A – 10°)

Mathematics 2009 Question Papers Class X
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