JEE Advanced questions
3844 published questions with worked solutions.
- If _ a-n ^ n e^ x(a-x) ,dx= then the value of _ a-n ^ n x ,e^ x(a-x) ,dx, a 2n, is
- The value of ^ -1 2+ ^ -1 3 is equal to
- If in the ABC, AC is double of AB then the value of A2 B-C 2 is equal toNot in JEE syllabus
- Let C_1,C_2, ,C_n, be a sequence of concentric circles. The nth circle has the radius n and it has n openings. A point P starts...
- If a, b are orthogonal unit vectors then for a vector r, noncoplanar with a and b, the vector r a is equal to
- If the line ax+by=2 is a normal to the circle x^ 2 +y^ 2 -4x-4y=0 and a tangent to the circle x^ 2 +y^ 2 =1 then
- If A and B are two independent events then which of the following is not equal to any of the remaining?
- An event X can take place in conjunction with any one of the mutually exclusive and exhaustive events A, B and C. If A, B, C are...
- Let f(t)=[t] , i+(t-[t]) , j+[t+1] , k, where [ ] denotes the greatest integer function. Then the vectors f ( 54 ) and f(t),...
- Let f(x) be a continuous function whose range is [2,6.5]. If h(x)= [ x+f(x) ], N, be continuous, where [ ] denotes the greatest...
- If the point (0, ) is a point of the region bounded by the semicircle x= 9-y^ 2 and the line x=0 then the equation x^ 2 -2x- =0...
- Let E be an event which is neither a certainty nor an impossibility. Its probability is such that P(E)=1+ + ^ 2 and P(E')=(1+ )^...
- A word of at least 5 letters is made at random from 3 vowels and 3 consonants, all the letters being different. The probability...
- A number is selected at random from the first twenty-five natural numbers. If it is a composite number then it is divided by 5....
- If P_r=(x_r,y_r); r=1,2,3; are three points on the parabola x^ 2 =8y, where x_1,x_2,x_3 are in GP, then y_1,y_2,y_3 are in
- Let f(x) be an even function in R. If f(x) is monotonic increasing in [2,6] then
- If f(2)=g(2) and f'(2)=a, g'(2)=2a then _ x 2 f(x)-g(x) x-2 is equal to
- If a, b, c are three vectors such that | a|=| c|=1, | b|=4, | b c|=2 and 2 b= c+ a then is
- Let f(x)= x,1-x for all x R. Then the value of _0^ 2 f(x) ,dx is
- A dice is thrown six times, it being known that each time a different digit shows up. The probability that a sum of 12 will be...