CBSE Guess > Papers > Important Questions > Class XII > 2009 > Maths > Mathematics By Anil Kumar Tondak CBSE CLASS XII Determinants Q. 1. Prove that = (1 x3)2 Q. 2. Find the equation of the line joining A(1,3) and B(0,0) using determinants and find if D (K, 0) is a point such that area of a triangle ABD is 3 square units. Q. 3. If A = Verify that A^{3} – 6A^{2} + 9A – 4I = 0 and hence find A^{1} Q. 4. Prove that : = (1 – x2) Q. 5. Solve by matrix method: Q. 6. Prove that : Q. 7. Prove that : = abc + bc + ca + ab. Q. 8. Solve : = 0 Q. 9. Using determinants, find the area of the triangle whose vertices are (1, 4), (2, 3), (5, 3). Are the given points collinear. Q. 10. If the points (a_{1}, b_{1}), (a_{2}, b_{2}) and (a_{1} + a_{2} b_{1} + b_{2}) are collinear, Show that a1b2 = a2b1. Q. 11. If a, b, c are all positive and are p^{th} , q^{th} and r^{th} terms of G.P., then show that Q. 12. If = 0, then Prove that Prepared By Anil Kumar Tondak

