The equation of the ellipse whose axes are coincident with the coordinates axes and which touches the straight lines `3x-2y-20=0` and `x+6y-20=0` is `(x^2)/(40)+(y^2)/(10)=1` (b) `(x^2)/5+(y^2)/8=1` `(x^2)/(10)+(y^2)/(40)=1` (d) `(x^2)/(40)+(y^2)/(30)=1`

The equation of the ellipse whose axes are coincident with the coordinates axes and which touches the straight lines 3x-2y-20=0 and x+6y-20=0 is (a) (x^2)/(40)+(y^2)/(10)=1 (b) (x^2)/5+(y^2)/8=1 (c) (x^2)/(10)+(y^2)/(40)=1 (d) (x^2)/(40)+(y^2)/(30)=1

The eccentricity of the ellipse whose axes are coincident with the co-ordinate axes and which touches the straight line 3x-2y-20=0 and x+6y-20=0 is

The equation of the circle which touches the axes of coordinates and the line x/3+y/4=1 and whose center lies in the first quadrant is x^2+y^2-2c x-2c y+c^2=0 , where c is (a) 1 (b) 2 (c) 3 (d) 6

The equation of the circle which touches the axes of coordinates and the line x/3+y/4=1 and whose center lies in the first quadrant is x^2+y^2-2c x-2c y+c^2=0 , where c is (a) 1 (b) 2 (c) 3 (d) 6

The equation of the circle which touches the axes of coordinates and the line x/3+y/4=1 and whose center lies in the first quadrant is x^2+y^2-2c x-2c y+c^2=0 , where c is (a) 1 (b) 2 (c) 3 (d) 6

The equation of the circle which touches the axes of coordinates and the line x/3+y/4=1 and whose center lies in the first quadrant is x^2+y^2-2c x-2c y+c^2=0 , where c is (a) 1 (b) 2 (c) 3 (d) 6

The equation of the circle which touches the axes of coordinates and the line x/3+y/4=1 and whose center lies in the first quadrant is x^2+y^2-2c x-2c y+c^2=0 , where c is (a) 1 (b) 2 (c) 3 (d) 6

In the standard ellipse, the lines joining the ends of the minor axis to one focus are at right angles. The distance between the focus and the nearer vertex is sqrt(10) - sqrt(5) . The equation of the ellipse (a) (x^(2))/(36) +(y^(2))/(18) = 1 (b) (x^(2))/(40)+(y^(2))/(20) = 1 (c) (x^(2))/(20) +(y^(2))/(10) = 1 (d) (x^(2))/(10)+(y^(2))/(5) =1

The coordinates of the middle point of the chord intercepted on the line 2x-y+3=0 by the ellipse (x^(2))/(10)+(y^(2))/(6)=1 are

The point of contact of the tangent to the circle x^2+y^2=5 at the point (1,-2) which touches the circle, x^2+y^2-8x+6y+20=0 is