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Using determinants show that the following points are collinear:
(5, 5), (−5, 1) and (10, 7)
Concept: undefined >> undefined
Using determinants show that the following points are collinear:
(1, −1), (2, 1) and (4, 5)
Concept: undefined >> undefined
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Using determinants show that the following points are collinear:
(3, −2), (8, 8) and (5, 2)
Concept: undefined >> undefined
Using determinants show that the following points are collinear:
(2, 3), (−1, −2) and (5, 8)
Concept: undefined >> undefined
If the points (a, 0), (0, b) and (1, 1) are collinear, prove that a + b = ab.
Concept: undefined >> undefined
Using determinants prove that the points (a, b), (a', b') and (a − a', b − b') are collinear if ab' = a'b.
Concept: undefined >> undefined
Find the value of \[\lambda\] so that the points (1, −5), (−4, 5) and \[\lambda\] are collinear.
Concept: undefined >> undefined
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
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
