JEE Main questions
34495 published questions with worked solutions.
- Let P(h, k) be a point on the curve y = x² + 7x + 2, nearest to the line, y = 3x – 3. Then the equation of the normal to the...
- The plane passing through the points (1, 2, 1), (2, 1, 2) and parallel to the line, 2x = 3y, z = 1 also passes through the point :
- If R = (x, y) : x, y ∈ Z, x^2+3y^2 8 is a relation on the set of integers Z, then the domain of R^ -1 is:
- The sum of the first three terms of a G.P. is S and their product is 27. Then all such S lie in :
- A line parallel to the straight line 2x – y = 0 is tangent to the hyperbola x^2 4 - y^2 2 =1 at the point (x_1, y_1). Then...
- The domain of the function f(x)= ^ -1 ( |x|+5 x^2+1 ) is (- ,-a] [a, ). Then a is equal to:
- The value of ( 1+ 2 9 +i 2 9 1+ 2 9 -i 2 9 )^3 is:
- If p(x) be a polynomial of degree three that has a local maximum value 8 at x = 1 and a local minimum value 4 at x = 2; then p(0)...
- The integral _0^2 ||x-1|-x |dx is equal to___________.
- Let a , b and c be three unit vectors such that | a - b |^2+| a - c |^2=8. Then | a +2 b |^2+| a +2 c |^2 is equal to __________.
- If _ x 1 x+x^2+x^3+ +x^n-n x-1 =820, (n ∈ N) then the value of n is equal to_________.
- If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a...
- The number of integral values of k for which the line, 3x + 4y = k intersects the circle, x^2+y^2-2x-4y+4=0 at two distinct...
- A satellite is moving in a low nearly circular orbit around the earth. Its radius is roughly equal to that of the earth's radius...
- A balloon filled with helium (32°C and 1.7 atm) bursts. Immediately afterwards the expansion of helium can be considered as
- Magnitude of magnetic field (in SI units) at the centre of a hexagonal shape coil of side 10 cm, 50 turns and carrying current I...
- When the wavelength of radiation of falling on a metal is changed from 500 nm to 200 nm, the maximum kinetic energy of the...
- Two isolated conducting spheres S_1 and S_2 of radius 2 3 R and 1 3 R have 12 and –3 charges, respectively, and are at a large...
- A uniform thin rope of length 12 m and mass 6 kg hangs vertically from a rigid support and a block of mass 2 kg is attached to...
- A 750 Hz, 20 V (rms) source is connected to a resistance of 100 , an inductance of 0.1803 H and a capacitance of 10 all in...