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The area of a triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units. The value of k will be
If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x.
Using determinants, find the equation of the line joining the points (1, 2) and (3, 6).
A non-trivial solution of the system of equations x + λy + 2z = 0, 2x + λz = 0, 2λx – 2y + 3z = 0 is given by x : y : z =
If 4x + 3y + 6z = 25, x + 5y + 7z = 13, 2x + 9y + z = 1, then z = ________
If the equations 2x + 3y + z = 0, 3x + y – 2z = 0 and ax + 2y – bz = 0 has non-trivial solution, then
Find the area of the triangle with vertices P(4, 5), Q(4, -2) and R(-6, 2).
If the points (2, -3), (k, -1) and (0, 4) are collinear, then find the value of 4k.
If the points (a1, b1), (a2, b2) and(a1 + a2, b1 + b2) are collinear, then
If the equation a(y + z) = x, b(z + x) = y, c(x + y) = z have non-trivial solutions then the value of 1/(1+a)+1/(1+b)+1/(1+c) is
If A and B are invertible matrices, then which of the following is not correct?
The minor Mij of an element aij of a determinant is defined as the value of the determinant obtained after deleting the
Which of the following is correct?
If area of triangle is 35 sq. units with vertices (2, -6), (5, 4) and (k, 4). Then k is
IF A is any square matrix of order 3 x 3 such that |a| = 3, then the value of |adj. A| is?
The area of a triangle with vertices (-3, 0). (3, 0) and (0, k) is 9 sq. units. The value of ‘k’ will be:
The number of values of ‘k’ for which the linear equations:
4x + ky + 2z = 0
Kx + 4y + z = 0
2x + 2y + z = 0
Possesses a no-zero solution is
If S is the set of distinct values of ‘h’ for which the following system of linear equations:
x + y + z = 1
x + ay + z = 1
ax + by + z = 1
has no solution, then S is
Solve the following system of equations x – y + z = 4, x – 2y + 2z = 9 and 2x + y + 3z = 1.
If determinant of a matrix is equal to zero, then it is said to be