Practice questions
88551 published questions with worked solutions.
- and are positive acute angles satisfying the equations 5 2 =3 2 and =3 simultaneously. Then the value of + is ____.
- The minimum value of (3 x-4 x-10)(3 x+4 x-10) is ____.
- In a triangle ABC, if A-B=120^ and A 2 B 2 C 2 = 1 32 , then the value of 8 C is ____.Not in JEE syllabus
- If f(x)=2(7 x+24 x)(7 x-24 x) for every x R, then the maximum value of (f(x))^ 1/4 is ____.
- The greatest integer less than or equal to 1 290^ + 1 3 250^ is ____.
- The value of 9 ^4t+ ^4t-1 ^6t+ ^6t-1 is ____.
- 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