Two Dimensional Analytical Geometry Book Back Questions

11th Standard

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

Maths

Time : 00:45:00 Hrs
Total Marks : 30
    5 x 1 = 5
  1. The equation of the locus of the point whose distance from y-axis is half the distance from origin is

    (a)

    x2+3y=0

    (b)

    x2-3y2=0

    (c)

    3x2+y2=0

    (d)

    3x2-y2=0

  2. Which of the following point lie on the locus of 3x2+3y2-8x-12y+17 = 0

    (a)

    (0,0)

    (b)

    (-2,3)

    (c)

    (1,2)

    (d)

    (0,-1)

  3. Equation of the straight line that forms an isosceles triangle with coordinate axes in the I-quadrant with perimeter 4 + 2\(\sqrt{2}\) is

    (a)

    x+y+2=0

    (b)

    x+y-2=0

    (c)

    \(x+y-\sqrt{2}=0\)

    (d)

    \(x+y+\sqrt{2}=0\)

  4. The intercepts of the perpendicular bisector of the line segment joining (1, 2) and (3,4) with coordinate axes are

    (a)

    5,-5

    (b)

    5,5

    (c)

    5,3

    (d)

    5,-4

  5. The equation of the line with slope 2 and the length of the perpendicular from the origin equal to \(\sqrt5\) is

    (a)

    x+2y=\(\sqrt5\)

    (b)

    2x+y=\(\sqrt5\)

    (c)

    2x+y=5

    (d)

    x+2y-5=0

  6. 3 x 2 = 6
  7. Find the locus of P, if for all values of \(\alpha\) the co-ordinates of a moving point P is  (9 cos,\(\alpha\) 9 sin \(\alpha\))

  8. The sum of the squares of the distances of a moving point from two fixed points (a, 0) and (-0, 0) is equal to 2c2. Find the equation to its locus.

  9. The length L (in cm) of a copper rod is a linear function of its Celsius temperature C. In an experiment if L = 124.942 when C = 20 and. L = 125.134 when C = 110, express L in terms of C.

  10. 3 x 3 = 9
  11. Find the equation of the straight line parallel to 5x - 4y + 3 = 0 and having x-intercept 3.

  12. A straight rod of length 8 units slides with its ends A and B always on the x and y axes respectively. Find the locus of the mid point of the line segment AB.

  13. If P is length of perpendicular from origin to the line whose intercepts on the axes are a and b , then show that \(\frac{1}{p^2}=\frac{1}{a^2}+\frac{1}{b^2}\)

  14. 2 x 5 = 10
  15. If θ is a parameter, find the equation of the locus of a moving point, whose coordinates are x=a cos3, y=a sin3 θ.

  16. If the points P(6,2) and Q(-2,1) and R are the vertices of a Δ PQR and R is the point on the locus of y=x2-3x+4, then find the equation of the locus of centroid of Δ PQR

*****************************************

TN 11th Standard Maths free Online practice tests

Reviews & Comments about 11th Standard Maths Unit 6 Two Dimensional Analytical Geometry Book Back Questions

Write your Comment