If the coordinates of A, B, C and D are ...

If the coordinates of A, B, C and D are (6,3), (-3,5), (4,-2) and (x,3x) respectively and if `(DeltaDBC)/(DeltaABC)=(1)/(2)."then show that"x=(11)/(8)"or"(3)/(8).`

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CALCUTTA BOOK HOUSE-AREA OF TRIANGLES-Long-answer type questions :

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If the coordinates of A, B, C and D are (6,3), (-3,5), (4,-2) and (x,3...
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If the point (a,b), (a',b') and (a-a',b-b') are collinear, then prove ...
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Prove that (a,b + c), (b,a + c) and (c, a + b) are collinear.
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If P (-2,3), Q (4,-5) and R (-3,1) are the three consecutive vertices ...
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Four vertices of a quadrilateral are (-5,-5), (2,-4), (3,2) and (-2,3)...
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Four vertices of a quadrilateral are (1,2), (-5,6), (7,-4) and (k,-2) ...
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