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Mathematics Test 80

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Mathematics Test 80
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  • Question 1
    4 / -1

    If a straight line passing through the point P(–3, 4) is such that its intercepted portion between the coordinate axes is bisected at P, then its equation is :

    Solution

    x/-3 + y/4 = 2

    ⇒ 4x – 3y + 24 = 0

     

  • Question 2
    4 / -1

    Consider  the family of lines x(a + b) + y = 1, where a, b and c are the roots of the equation x3 – 3x+ x + λ = 0 such that c ∈ [1,2]. If the given family of lines makes triangle of area 'A' with coordinate axis, then maximum value of 'A' (in sq. units) will be  -

  • Question 3
    4 / -1

    Line AB passes through point (2, 3) and intersects the positive x and y axes at A(a, 0) and B(0, b) respectively. If the area of ΔAOB is 11, the numerical value of 4b2 + 9a2, is :-

  • Question 4
    4 / -1

    The equation of the perpendicular bisectors of the sides AB and AC of a triangle ABC are y = x and y = –x, respectively. If the point A is (1, 2), then the area of ΔABC is :-

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