JEE Advanced questions
3844 published questions with worked solutions.
- The area bounded by the curve y=2^x, the x-axis and the y-axis is
- The area bounded by the curve x= ^ -1 y and the lines |x|=1 is
- The area bounded by the curve y= x, the line 2y+3=x and the x-axis in the first quadrant is
- The area of the region bounded by the pairs of lines y=|x-1| and y=3-|x| is
- The ratio in which the area bounded by the curves y^2=4x and x^2=4y is divided by the line x=1 is
- Let f(x) be a continuous function such that the area bounded by the curve y=f(x), the x-axis and the two ordinates x=0 and x=a is...
- The area bounded by the curve f(x)=ce^x (c>0), the x-axis and the two ordinates x=p and x=q is proportional to
- The ordinate x=a divides the area bounded by the x-axis, the curve y=1+ 8 x^2 and the ordinates x=2 and x=4 into equal parts....
- The area of the ellipse (x+1)^2 4 +y^2=1 falling in the first quadrant is
- The order of the differential equation d^2y dx^2 - ( dy dx )^2=1 is
- The degree of the differential equation 1+ ( dy dx )^2 =x^2 is
- The differential equation of the family of curves y=e^ x (A x+B x), where A,B are arbitrary constants, has the degree n and order...
- The general solution of a differential equation is y=ae^ bx+c where a,b,c are arbitrary constants. The order of the differential...
- The general solution of a differential equation is (y+c)^2=cx where c is an arbitrary constant. The order and degree of the...
- The degree and order of the differential equation of the family of all parabolas whose axis is the x-axis, are respectively
- The order and degree of the differential equation of the family of circles touching the x-axis at the origin, are respectively
- The order and degree of the differential equation of the family of ellipses having the same foci, are respectively
- If y(t) is a solution of the equation (1+t) dy dt -ty=1 and y(0)=-1 then y(1) is
- The solution of (x+ y) ,dy+y ,dx=0 when y(0)=1 is
- The general solution of the equation (1+y^2)+ (x-e^ ^ -1 y ) dy dx =0 is