JEE Advanced questions
3844 published questions with worked solutions.
- Let f(x)= cases x, & x 0 - x, & x<0. cases Then f(x) is
- If f(x)= _ n=0 ^ n a_n|x|^n, where a_i's are real constants, then f(x) is
- Let [x] denote the greatest integer less than or equal to x. Now g(x) is defined as below: g(x)= cases [f(x)], & x (0, 2 ) ( 2 ,...
- Let f(x)= (x)+ (x) and '(a), '(a) are finite and definite. Then
- Let f(x)=x+|x|. Then f(x) is
- Let f(x)= _ n 1-x^n 1+x^n . Then
- Let f(x)=1-| x| for all x R. Then
- Let f(x)=[ ^2x], where [ ] denotes the greatest integer function. Then
- If f(x)= x x+1 - x be a real-valued function then
- A function f(x) is defined in the interval [1,4) as follows: f(x)= cases _e[x], & 1 x<3 | _e x|, & 3 x<4. cases The graph of the...
- If m be the slope of a tangent to the curve e^ y = 1 + x^ 2 then
- If at each point of the curve y = x^ 3 - ax^ 2 + x + 1 the tangent is inclined at an acute angle with the positive direction of...
- The slope of the tangent to the curve y = x^ 2 - x at the point where the line y = 2 cuts the curve in the first quadrant is
- The slope of the tangent to the curve y = 4 - x^ 2 at the point where the ordinate and the abscissa are equal, is
- The slope of the tangent to the locus y = ^ -1 ( x) at x = - 4 is
- The slope of the tangent to the curve y = _ 0 ^ x dx 1+x^ 3 at the point where x = 1 is
- The equation of a curve is given by x = e^ t t, y = e^ t t. The inclination of the tangent to the curve at the point t = 4 is
- The curve given by x + y = e^ xy has a tangent parallel to the y-axis at the point
- P(2, 2) and Q ( 12, -1 ) are two points on the parabola y^ 2 = 2x. The coordinates of the point R on the parabola, where the...
- The number of tangents to the curve x^ 3/2 + y^ 3/2 = a^ 3/2 , where the tangents are equally inclined to the axes, is