JEE Main questions
34495 published questions with worked solutions.
- Suppose A and B are two angles such that A,B (0, ) and satisfy A+ B=1 and A+ B=0. Then the value of 12 2A+4 2B is ____.
- Suppose x and y are real numbers such that x+ y=42 and x+ y=49. Then the smallest prime number that does not divide (x+y) is ____.
- The value of 3 | 2 140^ 280^ 220^ + 340^ cosec ,20^ 200^ - 280^ 200^ | is ____.
- If ^3x 3x+ ^3x 3x=3/8, then the value of 8 4x is ____.
- If _ 10 x+ _ 10 x=-1 and _ 10 ( x+ x)= ( _ 10 n)-1 2 , then the value of n/3 is ____.
- The number of triangles ABC with A=x, B=x+1 and C=1-x is ____.
- The absolute value of the expression 16 + 5 16 + 9 16 + 13 16 is ____.
- In a triangle ABC, if A= 12, B=k+ 12 and C=2k+ 12, then the possible value of [k], where [ ] represents the greatest integer...
- Let 0 a,b,c,d , where b and c are not complementary, such that 2 a+6 b+7 c+9 d=0 and 2 a-6 b+7 c-9 d=0. Then the value of 3 (a+d)...
- The value of cosec ,10^ + cosec ,50^ - cosec ,70^ is ____.
- The number of roots of the equation | x x|+ 2+ ^2x+ ^2x = 3, x [0,4 ], is ____.Not in JEE Main syllabus
- The number of roots of the equation 2^ (x- 4 ) -2(0.25)^ ^2 (x- 4 ) 2x +1=0 is ____.Not in JEE Main syllabus
- If 4x=a_0+a_1 ^2x+a_2 ^4x is true for all values of x R, then the value of 5a_0+a_1+a_2 is ____.
- The maximum integral value of a for which the equation a x+ 2x=2a-7 has a solution is ____.Not in JEE Main syllabus
- The number of integral values of m for which the equation x- 3 x= 4m-6 4-m has solutions x [0,2 ] is ____.Not in JEE Main syllabus
- The number of solutions of the equation ( 3+1)^ 2x +( 3-1)^ 2x =2^ 3x is ____.
- The number of integral values of a for which the equation ^2x- x+a=0 has roots when x (0, /2) is ____.
- The number of roots of the equation (3+ x)^2=4-2 ^8x, x [0,5 ], is ____.Not in JEE Main syllabus
- The number of solutions of the equation ^4x- ^2x x+2 ^2x+ x=0 in 0 x 3 is ____.Not in JEE Main syllabus
- The number of values of p for which the equation ^3x+1+p^3-3p x=0 (p>0) has a root is ____.