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Find the equation of the tangent to the circle `x^2 + y^2 - 2ax - 2ay + a^2 = 0` which makes with the coordinate axes a triangle of area `a^2.`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the area of the triangle formed by the tangents from the point (4...

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  2. Equation of a circle with centre (4, 3) touching the circle x^2+y^2=1 ...

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  3. Find the equation of the tangent to the circle x^2 + y^2 - 2ax - 2ay +...

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  4. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

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

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  9. If the chord y = mx + 1 subtends an angle of measure 45^0 at the major...

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  10. (6,0),(0,6),a n d(7,7) are the vertices of a A B C . The incircle of ...

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  11. If O is the origin and O Pa n dO Q are the tangents from the origin to...

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  12. The range of values of r for which the point (-5+r/sqrt2,-3+r/sqrt2) i...

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  13. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

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  14. Statement 1 : The least and greatest distances of the point P(10 ,7)...

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  15. Statement 1 : The number of circles passing through (1, 2), (4, 8) a...

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  16. The locus of the midpoint of a line segment that is drawn from a given...

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  18. The centre of a circle passing through the points (0,0),(1,0)and touch...

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  19. Each question has four choices a, b, c and d, out of which only one is...

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  20. Statement 1 : If the chords of contact of tangents from three points...

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