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Straight Line and Pair of Straight Lines Test - 54
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Straight Line and Pair of Straight Lines Test - 54

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  • Question 1/10
    4 / -1
    If the lines represented by the equation 2x2 – 3xy + y2 = 0 make angles α and β with x-axis, then cot2 α + cot2 β
    Solutions

  • Question 2/10
    4 / -1
    Angle between the lines joining the origin to the points of intersection of the curves 2x2 + 3y2 + 10x = 0 and 3x2 + 5y2 + 16x = 0 is
    Solutions

  • Question 3/10
    4 / -1
    The lines (lx + my)2 – 3(mx – ly)2 = 0 and lx + my + n = 0 form
    Solutions

  • Question 4/10
    4 / -1
    If (a + 3b)(3a + b) = 4h2, then the angle between the lines represented by ax2 + 2hxy + by2 = 0 is
    Solutions

  • Question 5/10
    4 / -1
    The angle between the lines represented by the equation (x2 + y2) sin θ + 2xy = 0 is
    Solutions

  • Question 6/10
    4 / -1
    The straight lines joining the origin to the points of intersection of the line 2x + y = 1 and curve 3x2 + 4xy – 4x + 1 = 0 include an angle
    Solutions

  • Question 7/10
    4 / -1

    Solutions

  • Question 8/10
    4 / -1
    If two of the three lines represented by the equation ax3 + bx2y + cxy2 + dy3 = 0 are perpendicular, then
    Solutions

  • Question 9/10
    4 / -1
    The acute angle formed between the lines joining the origin to the points of intersection of the curves x2 + y2 – 2x –1 = 0 and x + y = 1, is
    Solutions

  • Question 10/10
    4 / -1
    If the angle 2θ is acute, then the acute angle between x2 (cos θ – sin θ) + 2xy cos θ + y2 (cos θ + sin θ) = 0 is
    Solutions

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