JEE Advanced questions
3844 published questions with worked solutions.
- If the angle between the tangents from the point ( ,1) to the parabola y^2=16x be 2 then is
- The number of ways in which 9 flowers, of which 5 are identical and white, and the other four are of different colours, can be...
- If r, r_0 be the inradius and an exradius respectively of an equilateral triangle then r:r_0 is equal toNot in JEE syllabus
- The value of _0^ /4 x ( x+ x)^2 ,dx is
- If the two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in two distinct points then
- If _ x 0 (a-n)nx- x nx x^2 =0, n 0 then a is equal to
- A point on the line x-1 0 = y 1 = z+1 2 at a distance 3 from the plane x+y+z=3 is
- Two numbers are selected one by one without replacement at random from the set S= 1,2,3,4,5,6 . The probability that the smaller...
- Given f'(x)=6 and f'(1)=4, _ h 0 f(2h+2+h^2)-f(2) f(h-h^2+1)-f(1) is
- If f(x)=x^2+2bx+2c^2 and g(x)=-x^2-2cx+b^2 such that f(x)> g(x) then the relation between b and c is
- If the sum of the roots of the quadratic equation ax^2+bx+c=0 is equal to the sum of the squares of their reciprocals then ac,...
- Let u= i+ j, v= i- j and w= i+2 j+3 k. If n is a unit vector such that u n=0 and v n=0 then | w n| is equal to
- Let f'(x)=f(x) where f(0)=1. If f(x)+g(x)=x^2 then _0^1f(x)g(x) ,dx is equal to
- The number of elements in the set S= i^n+i^ -n : n is an integer where i= -1 , is
- If a_0=1, a_1=1 and a_n=a_ n-1 a_ n-2 +1, n>2, then
- If f(x)= _ x^2 ^ x^2+1 e^ -t^2 ,dt then f(x) increases in
- Events A,B,C are mutually exclusive events such that P(A)= 3x+1 3 , P(B)= 1-x 4 and P(C)= 1-2x 2 . The set of possible values of...
- If in a ABC, b=3 cm, c=4 cm and the length of the perpendicular from A to the side BC is 2 cm then the number of solutions of the...Not in JEE syllabus
- The ratio in which the line segment joining the points whose position vectors are 2 i-4 j-7 k and -3 i+5 j-8 k is divided by the...
- The value of _ r=0 ^ n ^ n+r C_r is equal to