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If the points `(x_1,y_1),(x_2,y_2)and(x_3,y_3)` are collinear, then the rank of the matrix `{:[(x_1,y_1,1),(x_2,y_2,1),(x_3,y_3,1)]:}` will always be less than

A

2

B

3

C

1

D

none of these

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Three points A(x_1 , y_1), B (x_2, y_2) and C(x, y) are collinear. Prove that: (x-x_1) (y_2 - y_1) = (x_2 - x_1) (y-y_1) .

An equilateral triangle has each side to a. If the coordinates of its vertices are (x_(1), y_(1)), (x_(2), y_(2)) and (x_(3), y_(3)) then the square of the determinat |(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)| equals

If the points (x_1, y_1), (x_2, y_2) and (x_3, y_3) be collinear, show that: (y_2 - y_3)/(x_2 x_3) + (y_3 - y_1)/(x_3 x_2) + (y_1 - y_2)/(x_1 x_2) = 0

The points (x_(1),y_(1)),(x_(2),y_(2)),(x_(1),y_(2)) and (x_(2),y_(1)) are always

If the points (x_(1),y_(1)),(x_(2),y_(2)), and (x_(3),y_(3)) are collinear show that (y_(2)-y_(3))/(x_(2)x_(3))+(y_(3)-y_(1))/(x_(3)x_(1))+(y_(1)-y_(2))/(x_(1)x_(2))=0

An equilateral triangle has each side equal to a,If (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) are the vertices of the triangle then det[[x_(1),y_(1),1x_(2),y_(2),1x_(3),y_(3),1]]^(2)=

An equilateral triangle has each side equal to a,If (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) are the vertices of the triangle then det[[x_(1),y_(1),1x_(2),y_(2),1x_(3),y_(3),1]]^(2)=

IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHEMATICS 2005-MCQ
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  2. If A and B are two matrices such that AB=B and BA=A, then

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  3. If the points (x1,y1),(x2,y2)and(x3,y3) are collinear, then the rank o...

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  12. The equation of sinx+siny+sinz = - 3 for 0 lt= x lt= 2 pi, 0 lt= y lt=...

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  13. If x>=0and theta=sin^-1x+cos^-1x-tan^-1x, then

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  14. Let A, B and C are the angles of a plain triangle and tan(A/2)=1/3...

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