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 A3 – 6A2 + 9A – 4I = 0 and hence find A-1
Q. 4. Prove that :
= (1 – x2) 
Q. 5. Solve by matrix method:
2x + y + z = 1
= 3/2
5z = 9
Q. 6. Prove that :
= a3
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 (a1, b1), (a2, b2) and (a1 + a2 b1 + b2) are collinear, Show that a1b2 = a2b1.
Q. 11. If a, b, c are all positive and are pth , qth and rth terms of G.P., then show that
D = 
= 0
Q. 12. If
= 0, then Prove that
a, b, c are in G.P or x, y, z are in G.P
Prepared By Anil Kumar Tondak
M.Sc.(Maths), M.Ed.,
M.A.(Eco),M.B.A.(Mkt)
Mob No. 9811363962
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