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Show that (1, 2) lies on the locus x^(2)...

Show that (1, 2) lies on the locus `x^(2)+y^(2)-4x-6y+11=0`.

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Check wheather The point (1,2) lies inside the circle x^(2)+y^(2)-2x+6y+1=0 .

The chord of contact of (1,2) with respect to the circle x^(2)+y^(2)-4x-6y+2=0 is

The inverse of the point (1, 2) with respect to the circle x^(2) + y^(2) - 4x - 6y + 9 = 0 is

If one of the diameters of the curve ""^(2) + y ^(2) - 4x - 6y +9=0 is a chord of a circle with centre (1,1) then the radius of this circel is

Show that the tangent at (-1, 2) of the circle x^(2) + y^(2) - 4x -8y + 7 = 0 touches the circle x^(2) + y^(2) + 4x + 6y = 0 and also find its point of contact.

If one end of a diameter of the circle x^(2) + y^(2) - 4x - 6y + 11 = 0 is (3, 4), then the coordinates of the other end of the diameter are

Locate the position of the point (2,4) w.r.t the circle x^(2)+y^(2)-5x-6y+11=0

The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y-12=0 to the circle x^(2)+y^(2)+4x-6y+4=0 is

The point (3,-4) lies on both the circles x^2+y^2-2x+8y+13=0 and x^2+y^2-4x+6y+11=0 . Then the angle between the circles is

Find the angle between the circles S:x^(2)+y^(2)-4x+6y+11=0andS':x^(2)+y^(2)-2x+8y+13=0

ICSE-THE STRAIGHT LINE -EXERCISE 16 (i)
  1. Find locus of a point so that its distance from the axis of x is alway...

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  2. Find the locus of point whose distance from the origin is 5.

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  3. Find the locus of the point such that the sum of the squares of its di...

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  4. Find the locus of the point such that its distance from the x-axis is ...

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  5. Find the locus of the point such that its distance from the y-axis is ...

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  6. Find the locus of a point which is equidistance from the points (1, 0)...

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  7. A(2, 0) and B(4, 0) are two given points. A point P moves so that PA^(...

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  8. Find the locus of a point such that the sum of its distances from the ...

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  9. Find the locus of a point, so that the join of points (-5, 1) and (3, ...

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  10. Two points A and B with co-ordinates (5, 3), (3, -2) are given. A poin...

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  11. Show that (1, 2) lies on the locus x^(2)+y^(2)-4x-6y+11=0.

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  12. Does the point (3, 0) lie on the curve 3x^(2)+y^(2)-4x+7=0?

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  13. Find the condition that the point (h, k) may lie on the curve x^(2)+y^...

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  14. If the line (2+k)x-(2-k)y+(4k+14)=0 passes through the point (-1, 21),...

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  15. A is the point (-1, 0) and B is the point (1, 1). Find a point on the ...

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  16. The co-ordinates of the point S are (4, 0) and a point P has coordinat...

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  17. Find the ratio in which the line joining the points (6, 12) and (4, 9)...

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  18. AB is a line of fixed length, 6 units, joining the points A (t, 0) and...

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  19. A rod of length / slides with its ends on two perpendicular lines. Fin...

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  20. If O is the origin and Q is a variable, point on x^(2)=4y, find the lo...

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