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The square of the length of the tangent ...

The square of the length of the tangent drawn from any point on the circle `x^(2) + y^(2) + 70x -45y + 6789 =0` to the circle `x^(2) + y^(2) + 70x - 45y + 9876 =0` is ______ .

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To find the square of the length of the tangent drawn from any point on the first circle to the second circle, we can follow these steps: ### Step 1: Write the equations of the circles The equations of the circles given are: 1. Circle 1: \( x^2 + y^2 + 70x - 45y + 6789 = 0 \) 2. Circle 2: \( x^2 + y^2 + 70x - 45y + 9876 = 0 \) ### Step 2: Identify the center and radius of the circles ...
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AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION -I ( Subjective Type Questions )
  1. A circle passes through the point (3, 4) and cuts the circle x^2+y^2=c...

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  2. Two circles are inscribed and circumscribed about a square ABCD, lengt...

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  3. The square of the length of the tangent drawn from any point on the ci...

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  4. l and m are the lengths of the tangents from the origin and the point ...

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  5. The least distance between two points P and Q on the circle x^(2) + y^...

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  6. The sum of the square of the length of the chord intercepted by the li...

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  7. The area of the region bounded by the curves {(x,y) : x^(2) + y^(2) le...

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  8. The chord of contact of tangents from 3 points A, B, C to the circle x...

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  9. Let x, y be real variable satisfying x^(2) + y^(2) + 8x - 10y - 59 = 0...

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  10. If the tangent at P to the parabola y^(2) =7x is parallel to 6y -x + 1...

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  11. Find the equation of common tangent of y^(2)=4axandx^(2)=4by.

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  12. The mirror image of the parabola y^(2)=4x in the tangent to the parabo...

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  13. Locus of the point of intersection of the tangents to (x^(2))/((73)^(2...

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  14. Find the equation of the circle passing through the points of intersec...

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  15. find the equation of parabola which is symmetric about y-axis,and pass...

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  16. Find the point on the curve 3x^2-4y^2=72 which is nearest to the line ...

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  17. The line passing through the extremity A of the major exis and extremi...

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  18. If the tangents and normal to an ellipse 9x^(2) + 16y^(2) = 144 at a p...

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  19. A chord of parabola y^2=4ax subtends a right angle at the vertex. Find...

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  20. Let PN be the ordinate of a point P on the hyperbola x^2/(97)^2-y^2...

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