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11th Standard English Medium Maths Subject Two Dimensional Analytical Geometry Book Back 3 Mark Questions with Solution Part - II

11th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 30

    3 Marks

    10 x 3 = 30
  1. Show the points \((0,-\frac{3}{2}),(1,-1)\) and \((2,-\frac{1}{2})\) are collinear.

  2. Find the equations of the straight lines, making the y-intercept of 7 and angle between the line and the y-axis is 30°.

  3. The length of the perpendicular drawn from the origin to a line is 12 and makes an angle 150° with positive direction of the x-axis. Find the equation of the line.

  4. Area of the triangle formed by a line with the coordinate axes, is 36 square units. Find the equation of the line if the perpendicular drawn from the origin to the line makes an angle of 45° with positive the x-axis.

  5. Separate the equations 5x2 + 6xy + y2 = 0.

  6. If exists, find the straight lines by separating the equations 2x2 + 2xy + y= 0.

  7. Find the equations of a parallel line and a perpendicular line passing through the point (1, 2) to the line 3x + 4y = 7.

  8. Find the separate equation of the following pair of straight lines.
    \(2x^2 -xy - 3y^2 - 6x + 19y - 20 = 0\)

  9. Evaluate: \(\underset { x\rightarrow \infty }{ lim } \sqrt { x } \left( \sqrt { x+c } -\sqrt { x } \right) \) 

  10. Evaluate: \(\underset { x\rightarrow \infty }{ lim } \left( \sqrt { { x }^{ 2 }+x+1 } -\sqrt { { x }^{ 2 }+1 } \right) \)

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