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If A = [aij] is a skew-symmetric matrix, then write the value of \[\sum_i \sum_j\] aij.
Concept: undefined >> undefined
Find the value of x if the area of ∆ is 35 square cms with vertices (x, 4), (2, −6) and (5, 4).
Concept: undefined >> undefined
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Using determinants, find the area of the triangle whose vertices are (1, 4), (2, 3) and (−5, −3). Are the given points collinear?
Concept: undefined >> undefined
Using determinants, find the area of the triangle with vertices (−3, 5), (3, −6), (7, 2).
Concept: undefined >> undefined
Using determinants, find the value of k so that the points (k, 2 − 2 k), (−k + 1, 2k) and (−4 − k, 6 − 2k) may be collinear.
Concept: undefined >> undefined
If the points (x, −2), (5, 2), (8, 8) are collinear, find x using determinants.
Concept: undefined >> undefined
If the points (3, −2), (x, 2), (8, 8) are collinear, find x using determinant.
Concept: undefined >> undefined
Using determinants, find the equation of the line joining the points
(1, 2) and (3, 6)
Concept: undefined >> undefined
Using determinants, find the equation of the line joining the points
(3, 1) and (9, 3)
Concept: undefined >> undefined
Find values of k, if area of triangle is 4 square units whose vertices are
(k, 0), (4, 0), (0, 2)
Concept: undefined >> undefined
Find values of k, if area of triangle is 4 square units whose vertices are
(−2, 0), (0, 4), (0, k)
Concept: undefined >> undefined
Find the values of x and y, if \[2\begin{bmatrix}1 & 3 \\ 0 & x\end{bmatrix} + \begin{bmatrix}y & 0 \\ 1 & 2\end{bmatrix} = \begin{bmatrix}5 & 6 \\ 1 & 8\end{bmatrix}\]
Concept: undefined >> undefined
Prove that :
Concept: undefined >> undefined
Prove that :
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Prove that :
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Prove that :
Concept: undefined >> undefined
If \[x\binom{2}{3} + y\binom{ - 1}{1} = \binom{10}{5}\] , find the value of x.
Concept: undefined >> undefined
If \[2\begin{bmatrix}3 & 4 \\ 5 & x\end{bmatrix} + \begin{bmatrix}1 & y \\ 0 & 1\end{bmatrix} = \begin{bmatrix}7 & 0 \\ 10 & 5\end{bmatrix}\] , find x − y.
Concept: undefined >> undefined
