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 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 straight lines 4x-3y-5=0, x-2y=0, 7x+y-40=0 and x+3y+10=0 from

The equation of the straight line passing through the point (4,3) and making intercepts on the co-ordinate axes whose sum is -1 is (a) (x)/(2)-(y)/(3)=1 and (x)/(-2)+(y)/(1)=1(x)/(2)-(y)/(3)=-1 and (x)/(-2)+(y)/(1)=-1 (c) (x)/(2)+(y)/(3)=1 and (x)/(2)+(y)/(1)=-1(x)/(2)+(y)/(1)=-1 and (x)/(-2)+(y)/(1)=-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

Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (-3,""1) and has eccentricity sqrt(2/5) is: (1) 3x^2+""5y^2-32""=""0 (2) 5x^2+""3y^2-48""=""0 (3) 3x^2+""5y^2-15""=""0 (4) 5x^2+""3y^2-32""=""0

The equation of the circle of radius 5 in the first quadrant which touches the x-axis and the line 3x-4y=0 is x^(2)+y^(2)-24x-y-25=0x^(2)+y^(2)-30x-10y+225=0x^(2)+y^(2)-16x-18y-64=0x^(2)+y^(2)-20x-12y+144=0

What is the equation of the hyperbola having latus rectum and eccentricity 8 and (3)/(sqrt(5)) respectively? (A) (x^(2))/(25)-(y^(2))/(20)=1(B)(x^(2))/(40)-(y^(2))/(20)=1(C)(x^(2))/(40)-(y^(2))/(30)=1(D)(x^(2))/(30)-(y^(2))/(25)=1

For what value of 'a' is the area bounded by the curve y=a^(2)x^(2)+ax+1 and the straight line y=0.x=0 and x=1 the least?

The equation of the incircle formed by the cordinate axes and the line 4dx+3y=6 is x^(2)+y^(2)-6x-6y+9=04(x^(2)+y^(2)-x-y)+1=04(x^(2)+y^(2)+x+y)+1=0 None o these