Commerce (English Medium) कक्षा १२ - CBSE Question Bank Solutions for Mathematics

Find the value of \[\lambda\]  so that the points (1, −5), (−4, 5) and \[\lambda\]  are collinear.

If A = [a_ij] is a skew-symmetric matrix, then write the value of  \[\sum_i \sum_j\]  a_ij.

Using determinants, find the equation of the line joining the points

(1, 2) and (3, 6)

Using determinants, find the equation of the line joining the points

(3, 1) and (9, 3)

Find values of k, if area of triangle is 4 square units whose vertices are 
(k, 0), (4, 0), (0, 2)

Find values of k, if area of triangle is 4 square units whose vertices are 

(−2, 0), (0, 4), (0, k)

x − 2y = 4
−3x + 5y = −7

2x − y = 1
7x − 2y = −7

Find the values of x and y, if \[2\begin{bmatrix}1 & 3 \\ 0 & x\end{bmatrix} + \begin{bmatrix}y & 0 \\ 1 & 2\end{bmatrix} = \begin{bmatrix}5 & 6 \\ 1 & 8\end{bmatrix}\]

Prove that :

Prove that :

Prove that :

Prove that :

If  \[x\binom{2}{3} + y\binom{ - 1}{1} = \binom{10}{5}\] , find the value of x.