CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr. Kalpesh Gupta
CBSE CLASS XII
Q. 1. find the equation of the line joining)3,1(A and )0,0(B using determinants and find k if)0,(kD is a point such that area of triangle ABD is 3 sq. units.
Q. 2. If a, b and c are real numbers, and
, show that either a + b + c = 0 or a = b = c.
Q. 3. Solve the following system of linear equation
Q. 4. The sum of three numbers is 6. If we multiply third number by 3 and add second number to it, we get 11. By adding first and third numbers, we get double of the second number. Represent it algebraically and find the numbers using matrix method.
Q. 5. Without expanding show that
Q. 6. Show that :
Q. 7. Show that the matrix A = 
satisfies the equation x2 – 4x – 5 = 0. Hence find A-1
Q. 8. If A =
; show that A2 = A-1 . (Without using elementary transformations)
Paper By Mr. Kalpesh Gupta
Email Id : [email protected]
