JEE Main questions
34495 published questions with worked solutions.
- If = vmatrix x-2&2x-3&3x-4 2x-3&3x-4&4x-5 3x-5&5x-8&10x-17 vmatrix =Ax^3+Bx^2+Cx+D, then B + C is equal to-
- If the first term of an A.P. is 3 and the sum of its first 25 terms is equal to the sum of its next 15 terms, then the common...
- A dice is thrown two times and the sum of the scores appearing on the dice is observed to be a multiple of 4. Then the...
- The foot of the perpendicular drawn from the point (4, 2, 3) to the line joining the points (1, –2, 3) and (1, 1, 0) lies on the...
- Let [t] denote the greatest integer ≤ t. If for some R- 0,1 , _ x 0 | 1-x+|x| -x+[x] |=L, then L is equal to-
- The function, f(x)=(3x-7)x^ 2/3 , x R, is increasing for all x lying in
- The solution curve of differential equation, (1+e^ -x )(1+y^2) dy dx =y^2, which passes through the point (0, 1) is-
- A hyperbola having the transverse axis of length 2 has the same foci as that of the ellipse 3x^2+4y^2=12, then this hyperbola...
- For the frequency distribution : Variate (x) : x_1 x_2 x_3 .... x_ 15 Frequency (f) : f_1 f_2 f_3 .... f_ 15 where 0 < x_1 < x_2...
- The diameter of the circle, whose centre lies on the line x + y = 2 in the first quadrant and which touches both the lines x = 3...
- If _ x 0 1 x^8 (1- x^2 2 - x^2 4 + x^2 2 x^2 4 ) =2^ -k , then the value of k is __________ .
- If ( 1+i 1-i )^ m/2 = ( 1+i i-1 )^ n/3 =1, (m, n ∈ N), then the greatest common divisor of the least values of m and n is...
- Average force exerted on a non-reflecting surface at normal incidence is 2.4 × 10⁻⁴ N. If 360 W/cm² is the light energy flux...
- A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature (27°C). The ratio of...
- Binding energy of a certain nucleus is 18 × 10⁸ J. How much is the difference between total mass of all the nucleons and nuclear...
- Paramagnetic substances: A. align themselves along the directions of external magnetic field. B. attract strongly towards...Not in JEE Advanced syllabus
- Young's modulus is determined by the equation given by Y = 49000 M dyne cm ^2 where M is the mass and ℓ is the extension of wire...
- Two planets A and B having masses m₁ and m₂ move around the sun in circular orbits of r₁ and r₂ radii respectively. If angular...
- A LCR circuit is at resonance for a capacitor C, inductance L and resistance R. Now the value of resistance is halved keeping all...
- Two charged conducting spheres of radii a and b are connected to each other by a conducting wire. The ratio of charges of the two...