JEE Advanced questions
3844 published questions with worked solutions.
- Let R be the relation over the set of straight lines of a plane such that l_1 , R , l_2 l_1 l_2. Then R is
- Let R be the relation over the set of integers such that m , R , n if and only if m is a multiple of n. Then R is
- Let A = 1, 2, 3, 4 and R be a relation in A given by R = (1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1), (3, 1), (1, 3) . Then R...
- Let f : R R be a mapping such that f(x) = x^2 1 + x^2 . Then f is
- If y is a function of x defined by a^ x+y =a^ x +a^ y where a is a real constant (a>1) then the domain of y(x) is
- If y is a function of x given by 2 y- x- (y-1)=0 then the
- If the latus rectum of the parabola 2x^ 2 -ky+3=0 be 2 then the vertex is
- The ends of a quadrant of a circle have the coordinates (1,3) and (3,1). Then the centre of such a circle is
- If the function f(x)=x^ 2 -ax+4 is monotonic increasing in the open interval (2,+ ) then a is
- If vmatrix x&4&7&9 0&1&5&8 0&0&2&6 0&0&0&3 vmatrix = the total number of arrangements of 4 different things, taking at least one...
- Let A_r; r=1,2,3, be points on the number line such that OA_1,OA_2,OA_3, are in GP where O is the origin, and the common ratio of...
- If x^ 2 -px+q, q 0, is a factor of x^ 3 -ax^ 2 +bx-c, c 0, then
- The shortest distance between the lines whose equations are r=t( i+ j+ k) and r= k+s( i-2 j+3 k) is
- Four cards are drawn at random from a pack of 52 playing cards. The probability that the draw contains exactly one pair (i.e.,...
- If 1 2 <x<1 then ^ -1 x+ ^ -1 ( x+ 1-x^ 2 2 ) is equal to
- ABC is an equilateral triangle of side 4 cm. If R,r,h be the circumradius, inradius and altitude respectively then R+r h is equal...Not in JEE syllabus
- If y=2 be the directrix and (0,1) be the vertex of the parabola x^ 2 + y+ =0 then ( , ) is equal to
- The real value of a for which the value of m satisfying the equation (a^ 2 -1)m^ 2 -(2a-3)m+a=0 gives the slope of a line...
- The number of values of satisfying 4 +3 =5 as well as 3 +4 =5 isNot in JEE Main syllabus
- _ x 12 3[x] [x] , where [x] denotes the greatest integer x, is equal to