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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 ENGLISH-CONIC SECTIONS-All Questions
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  2. Find the equation of a circle with center (4, 3) touching the circle x...

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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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  7. In triangle A B C , the equation of side B C is x-y=0. The circumcente...

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  8. Let a and b represent the lengths of a right triangles legs. If d is t...

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  9. If the chord y=m x+1 of the circles x^2+y^2=1 subtends an angle of 45^...

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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/sqrt(2),-3+r/sqrt...

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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) ...

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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 (0,0), (1,0) and touching the C...

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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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