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Straight Line and Pair of Straight Lines Test - 62

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Straight Line and Pair of Straight Lines Test - 62
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  • Question 1
    4 / -1
    A person standing at the junction (crossing) of two straight paths represented by the equations x + y + 1 = 0 and x – y + 1 = 0 wants to reach the path whose equation is 6x – 7y + 8 = 0 in least time.The equation of the path that he should follow is
    Solution

  • Question 2
    4 / -1
    If a, b, c are in A.P. and x, y, z are in G.P., then the points (a, x), (b, y) and (c, z) are collinear if
    Solution

  • Question 3
    4 / -1

    Solution

  • Question 4
    4 / -1

    Solution

  • Question 5
    4 / -1
    Through the point (13, 31) a st. line is drawn to meet the axes of x and y at Q and S respectively. If the rectangle OQRS is completed, the co–ordinates of R satisfy the equation.
    Solution

  • Question 6
    4 / -1
    If the vertices A and B of a triangle ABC are given by (2, 5) and (4, – 11) and C moves along the line L1 : 9x + 7y + 4= 0, the locus of the centroid of the triangle ABC is a st. line parallel to
    Solution

  • Question 7
    4 / -1
    The vertex O of an isosceles triangle OAB lies at the origin and the equation of the base AB is x – y + 1 = 0. If OA = OB = 6, the area of the triangle OAB is
    Solution

  • Question 8
    4 / -1

    Solution

  • Question 9
    4 / -1
    Given the points A (0, a) and B (0, – a), the equation of the locus of point P (x, y) such that |AP – BP| = 6 is
    Solution

  • Question 10
    4 / -1
    The points A (0, 0), B (cosα , sinα ) and C (cosβ, sinβ) are the vertices of a right angled triangle if
    Solution

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