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The range of parameter ' a ' for which t...

The range of parameter `' a '` for which the variable line `y=2x+a` lies between the circles `x^2+y^2-2x-2y+1=0` and `x^2+y^2-16 x-2y+61=0` without intersecting or touching either circle is (a)`a in (2sqrt(5)-15 ,0)` (b) `a in (-oo, 2sqrt(5)-15,)` (c)`a in (2sqrt(5)-15,-sqrt(5)-1)` (d) `a in (-sqrt(5)-1,oo)`

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The range of parameter ' a ' for which the variable line y=2x+a lies between the circles x^2+y^2-2x-2y+1=0 and x^2+y^2-16 x-2y+61=0 without intersecting or touching either circle is a in (2sqrt(5)-15 ,0) a in (-oo,2sqrt(5)-15 ,) a in (0,-sqrt(5)-10) (d) a in (-sqrt(5)-1,oo)

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Show that the circles x^(2) + y^(2) + 2x = 0 and x^(2)+ y^(2) - 6 x -6 y + 2 = 0 touch externally at the point (1/5,3/5)

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AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION - J ( Aakash Challengers Questions )
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  2. The area of the triangle formed by the tangent at (3, 4) to the circle...

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  4. If (1, a), (b, 2) are conjugate points with repect to the circle x^(2)...

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  5. Area of the equilateral triangle inscribed in the circle x^(2) + y^(2)...

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  6. A solid sphere of radius R/2 is cut out of a solid sphere of radius R ...

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  7. The range of parameter ' a ' for which the variable line y=2x+a lies b...

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  8. A planet of mass m moves along an ellipse around the sun (mass M) so t...

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  9. There are exactly two points on the ellipse x^2/a^2+y^2/b^2=1,whose di...

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  10. The line2px+ysqrt(1-p^(2))=1(abs(p)lt1) for different values of p, tou...

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  12. A rectangular hyperbola whose centre is C is cut by any circle of radi...

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  13. Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter,...

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  14. Tangents are drawn from the points on a tangent of the hyperbola x^2-y...

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  15. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

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