#### Analytical Geometry Three Marks Questions

11th Standard

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Time : 01:00:00 Hrs
Total Marks : 45
10 x 3 = 30
1. A point moves so that its distance from the point (-1, 0) is always three times its distance from the point (0, 2). Find its locus.

2. Find the equation of a circle of radius 5 whose centre lies on X-axis and passes through the point (2, 3).

3. Find the equation of a circle whose diameters are 2x-3y+12=0 and x+4y-5=0 and area is 154 square units.

4. Find the condition that the straight lines y=m1x+C1, y=m2x+C2, and y=m3x+C3 may meet at a point?

5. Find the locus of a point such that the sum of its distances from the points (0, 2) and (0, -2) is 6.

6. Find the equation of the circle having centre at (3, -4) and touching the line 5x +12y-12=0

7. Find the equation of the circle which touches the line x=0, y=0 and x=a.

8. If the equation of a circle x2+y2+ax + by = 0 passing through the points (1, 2) and (1, 1), find the values of a and b

9. Find the equation of tangent at the point (–2, 5) on the circle x2+y2+3x-8y+17 = 0.

10. Find the length of the tangent from the point (2 ,3) to the circle x2+y2+8x+4y+8 = 0