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Tangent to the curve y=x^(2)+6 at the po...

Tangent to the curve `y=x^(2)+6` at the point P(1,7) touches the circle
`x^(2)+y^(2)+16x+12y+c=0` at a point Q. Show that `Q=(-6,-7)`

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The correct Answer is:
(-6,-7)
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AAKASH SERIES-CIRCLES-ADDITIONAL EXERCISE
  1. If (-4,3) and (12, -1) are the ends of diameter of a circle which make...

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  2. If the chord y=mx+1 of the circle x^(2)+y^(2)=1 subtends an angle of m...

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  3. Tangent to the curve y=x^(2)+6 at the point P(1,7) touches the circle ...

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  4. If the lines 3x-4y+4=0 and 6x-8y-7=0 , x^(2)+y^(2)+16x+12y+c=0 are tan...

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  5. The area of the quadrilateral formed by the tangents from the point (4...

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  6. The extremities of a diameter of a circle have coordinates A(-4,3) and...

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

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

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

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

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

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

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

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

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

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

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

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

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

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