Which of the following pair of graphs intersect? `y=x^2-xa n dy=1` `y=x^2-2x +3 and y=sinx` `y=x^2-x+1a n dy=x-4`

Find the angle of intersection of y=a^xa n dy=b^x

Prove that graphs y=2x-3a n dy=x^2-x never interest.

Prove that graphs of y=x^2+2a n dy=3x-4 never intersect.

y=f((2x-1)/(x^2+1)) and f^'(x)=sinx^2 then (dy)/(dx)

Find the area bounded by the curve x^2=y ,x^2=-ya n dy^2=4x-3

Sketch the region bounded by the curves y=x^2a n dy=2/(1+x^2) . Find the area.

Which of the following is not the differential equation of family of curves whose tangent form an angle of pi/4 with the hyperbola xy= c^2 ? (a) dy/dx=(x-y)/(x+y) (b)dy/dx=(x)/(x-y) (c)dy/dx=(x+y)/(x-y) (d)N.O.T.

Which of the following equation(s) is/are linear? (a) dy/dx+y/x=lnx (b) y(dy/dx)+4x=0 (c)(2x+y^3)(dy/dx)=3y (d)N.O.T.

For the smallest positive values of xa n dy , the equation 2(sinx+sin y)-2cos(x-y)=3 has a solution, then which of the following is/are true? (a) sin(x+y)/2=1 (b) cos((x-y)/2)=1/2 (c)number of ordered pairs (x , y) is 2 (d)number of ordered pairs (x , y)i s3

Solve the following differential equation: sqrt(1+x^2+y^2+x^2\ y^2)\ +x y(dy)/(dx)=0