Wednesday 12th August 2020
REGISTRATION
Online Fashion Store

Important Questions

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

Maths
  1. Application of Derivatives
  2. Inverse Trigonometric Functions
  3. Matrices
  4. Determinants
  5. Integrals
  6. Differential Equations
  7. Application of Integrals
  8. Continuity & Differentiation
  9. Vector Algebra
  10. Three Dimensional Geometry
  11. Probability
  12. Linear Programming
  13. Relations & Functions