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MATHSBOOKS - TELUGU ACADEMY MATHS (TELUGUENGLISH)IPE: MARCH-2016 [TS]Section-A (VSAQ)1. IfA { 2, 1, 0, 1, 2} and f : A Bdefined by f(x) x2 x 1is a surjectionthen find B.Watch Video Solution2. Find the domain of the real function log(x2Watch Video Solution 4x 3)

3. Defind Triangular Matrix.Watch Video Solution4. Let ā ī 2 j̄ 3 k and b 3 ī j̄the direction of ā b. Find the unit vector in.Watch Video Solution5. Find the vector equation of the line passing through the points 2 ī j̄ 3 k and 4 ī 3 j̄ k.Watch Video Solution6.Ifthevectors λ ī 3 j̄ 5 k,perpendicular to each other find λ.Watch Video Solution and 2λ ī λ(j) k,are

7. If A πB , then prove that (1 tan A)(1 tan B) 2.4Watch Video Solution8. Eliminate ' θ' from x a cos3θ, y b sin3θ.Watch Video Solution9. If sin hx 3, then show that x log (3 10)e.Watch Video SolutionSection-B (SAQ)1.IfI [3(aI bE)10013] and E [2 a I 3a bEWatch Video Solution0100]thenshowwhere I is identify matrix of order 2.that

2. Show that the line joining the pair of pointsand the line joining the pair of points, 6ā 4 b 4c̄ , 4c̄ ā 2 b 3c̄ , ā 2 b 5c̄intersect at the point 4c̄ when ā, b , c̄ are non-coplanar vectors.Watch Video Solution3.FindinfourpointsA(3, 2, 1), B(4, λ, 5), C (4, 2, 2) and D(6, 5, 1)beλorderthatthecoplanar.Watch Video Solution4. If none of the denominators is zero, prove that.cos A cos B(n)sin A sin Bsin A sin B (n)cos A cos B.Watch Video Solutionn {2 cot (0A B2)ifif

5.Ifareθ1 , θ2solutionsofcos 2θ b sin 2θ c, tan θ1 tan θ2the values of (i) tan θ1theequationand a c 0, then find(ii) tan θ1 . tan θ2 . tan θ2Watch Video Solution6. Prove that sin 14(sin 1) 57sin 1117 25.125Watch Video SolutionSection-B1. If a (b c)secθ, then prove that tan θ2 bc sin A b cWatch Video SolutionSection-C (LAQ)2a.

1. Using Mathematical induction. For all n N. Show thatna (a d) (a 2d) . . nupto n terms [2a 2.Watch Video Solution2.Show a b 2c abcb c 2abcathat 3 2(a b c).c a 2b Watch Video Solution3. solve the following system of equations by using Matrix inversionmethod.2x y 3z 9, x y z 6, x y z 2Watch Video Solution.

4. If ā ī 2 j̄ 3 k, b 2 ī j̄ k, c̄ ī j̄ 2 kthenfind. (a b) c) and a (b c) Watch Video Solution5. If A B C 2S, then prove thatS Asin(S A) sin(S B) sin C 4 cos()cos(2S B2.Watch Video Solution6.Ifr 1 2, r 2 3, r 3 6a 3, b 4 and c 5.Watch Video Solutionandr 1,provethat)

BOOKS - TELUGU ACADEMY MATHS (TELUGU ENGLISH) IPE: MARCH-2016 [TS] Section-A (VSAQ) 1. If i s a surjection defined by then find B. Watch Video Solution \Ã Ã BOE " " 4 4 4 2. Find the domain of the real function Watch Video Solution MPH 4 Ã 4