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Rectangular Cartesian Coordinates Test - 22

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Rectangular Cartesian Coordinates Test - 22
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    The area of the triangle formed by the points (a,b + c), (b,c + a) , (c, a + b) is
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    Three points are A(6,3) , B(–3,5), C(4,–2) and P(x,y) is a point, then the ratio of area of ∆PBC and ∆ABC is
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    If A (6,3) , B(–3,5), C(4,–2) and D(x,3x) are four points. If the ratio of area of ΔDBC and ΔABC is 1 : 2, then the value of x, will be
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    Area of a triangle whose vertices are (a cos θ , b sin θ) , (– a sin θ , b cos θ) and (– a cos θ, – b sin θ) is
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    Orthocentre of the triangle whose vertices are (0,0) (2,–1) and (1,3) is
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