If the normal to the curve `y=f(x)` at the point `(3,4)` makes an angle `(3pi)/4` with the positive x-axis, then `f'(3)=` (a) `-1` (b) `-3/4` (c) `4/3` (d) `1`

The distance of the point (-3,4) from the x-axis is : (a) 3 (b) -3 (c) 4 (d) 5

The distance of the point (-3,4) from the x-axis is : a) '3 (b) -3 (c) 4 (d) 5

If 2x+5/3=1/4x+4, then x= (a)3 (b) 4 (c) 3/4 (d) 4/3

The distance of the point (-3,4) from the x-axis is : 3 (b) -3 (c) 4 (d) 5

If x/2+1/3=1, then x= (a) 3/4 (b) 4/3 (c) -3/4 (d) (-4)/3

3x+4y-7=0 is normal to 4x^(2)-3y^(2)=1 at the point

If the area bounded by the curve y=f(x), x-axis and the ordinates x=1 and x=b is (b-1) sin (3b+4), then find f(x).

Points on the curve f(x)=x/(1-x^2) where the tangent is inclined at an angle of pi/4 to the x-axis are (a) (0,0) (b) (sqrt(3),-(sqrt(3))/2) (c) (-2,2/3) (d) (-sqrt(3),(sqrt(3))/2)

The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve intersects the y-axis , passes through the point : (1) (1/2,-1/3) (2) (1/2,1/3) (3) (-1/2,-1/2) (4) (1/2,1/2)

The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve intersects the y-axis , passes through the point : (1) (1/2,-1/3) (2) (1/2,1/3) (3) (-1/2,-1/2) (4) (1/2,1/2)