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The ellipse with equation (x^2)/9+(y^...

The ellipse with equation `(x^2)/9+(y^2)/4=1` is rotated counterclockwise about origin by `45^0dot` Then resulting equation can be written as `a x^2+b x y+c y^2=72 ,` then `(a+b+c)` is (1) 6 (2) 16 (3) 26 (4) 36

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The equation of normal to the ellipse 4x^2 +9y^2 = 72 at point (3,2) is:

The equation of the chord of the ellipse 4x^(2) + 9y^(2)= 36 having (3, 2) as mid pt.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 general solution of the differential equation y dx+(x+2y^2)dy=0 is a) x y+y^2=c b) 3x y+y^2=c c) x y+2y^3=c d) 3x y+2y^3=c

Which of the following line can be normal to parabola y^2=12 x ? (a) x+y-9=0 (b) 2x-y-32=0 (c) 2x+y-36=0 (d) 3x-y-72=0

The equations of tangents to the circle x^2+y^2-6x-6y+9=0 drawn from the origin in (a). x=0 (b) x=y (c) y=0 (d) x+y=0

x=2, y=−1 is a solution of the linear equation (a) x+2y=0 (b) x+2y=4 (c) 2x+y=0 (d) 2x+y=5

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

The equation of the normal to the circle x^(2)+y^(2)+6x+4y-3=0 at (1,-2) to is

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