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Show that the point of intersection of the line `4x-3y-10=0` and the circle `x^(2)+y^(2)-2x+4y-20=0` are (-2,-6) & (4,2)

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The correct Answer is:
(-2,-6) (4,2)
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AAKASH SERIES-CIRCLES-ADDITIONAL EXERCISE
  1. The extremities of a diameter of a circle have coordinates A(-4,3) and...

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  2. Show that the equation of the circles touching the Y-axis at (0,3) and...

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  3. Show that the point of intersection of the line 4x-3y-10=0 and the cir...

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  4. Show that the equation of a line passing through the point (11,-2) and...

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  5. If x+3y=0 is a tangent to the circle with centre at (-1,2) then show t...

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  6. Show that the radius of the circle lying in the first quadrant, passin...

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  7. A circle touches Y-axis at (0,3) and makes an intercept 2 units on the...

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  8. Two circles, each of radius 5 have a common tangent at (1,1), whose eq...

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  9. Show that the angle between the tangents drawn from (-1,3) to the circ...

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  10. If the circles (x-1)^(2)+(y-3)^(2)=4r^(2) and x^(2)+y^(2)-8x+2y+8=0 in...

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  11. Show that the centre of the circle passing through the points (0,0) an...

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  12. If two distinct chords, drawn from the point (p,q) on the circle x^(2)...

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  13. A circle touches the X-axis and also touches externally the circle wit...

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  14. Let C be the circle with centre (0,0) and radius 3. Show that he equat...

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  15. From the origin chords are drawn to the circle (x-1)^(2)+y^(2)=1. Show...

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  16. Through a fixed point (h,k) secants are drawn to the circle x^(2)+y^(2...

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  17. Show that the area of the triangle formed by the tangents from the poi...

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  18. Tangents are drawn from each point on the line 2x+y=4 to the circle x...

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  19. Show that the equation of the locus of the mid points of the chords of...

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  20. Show tha the tangents drawn from the origin in to the circle x^(2)+y^(...

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