JEE Main questions
34495 published questions with worked solutions.
- The molecular geometry of SF_6 is octahedral. What is the geometry of SF_4 (including lone pair(s) of electrons, if any) ?
- The heat of combustion of ethanol into carbon dioxides and water is –327 kcal at constant pressure. The heat evolved (in cal) at...
- For the disproportionation reaction 2Cu^+(aq) Cu(s)+Cu^ 2+ (aq) at 298 K, ln K (where K is the equilibrium constant) is _____ 10^...
- The oxidation states of transition metal atoms in K_2Cr_2O_7 , KMnO_4 and K_2FeO_4 , respectively, are x, y and z. The sum of x,...
- The ratio of the mass percentages of 'C & H' and 'C & O' of a saturated acyclic organic compound 'X' are 4 : 1 and 3 : 4...
- The area (in sq. units) of an equilateral triangle inscribed in the parabola y^2=8x, with one of its vertices on the vertex of...
- Let n > 2 be an integer. Suppose that there are n Metro stations in a city located along a circular path. Each pair of stations...
- If the equation ^4 + ^4 + =0 has real solutions for , then lies in the interval :Not in JEE Main syllabus
- Let f(x) be a quadratic polynomial such that f(–1) + f(2) = 0. If one of the roots of f(x) = 0 is 3, then its other root lies in :
- Let a, b, c R be all non-zero and satisfy a^3+b^3+c^3=2. If the matrix A= pmatrix a&b&c &c&a &a&b pmatrix satisfies A^TA=I, then...
- Let f : (–1, ∞) → R be defined by f(0) = 1 and f(x)= 1 x _e(1+x), x 0. Then the function f :
- If the sum of first 11 terms of an A.P., a_1, a_2, a_3, ........ is 0 (a_1 0), then the sum of the A.P., a_1, a_3, a_5, ..., a_...
- The imaginary part of (3+2 -54 )^ 1/2 - (3-2 -54 )^ 1/2 can be :
- _ x 0 ( ( 4 +x ) )^ 1/x is equal to :
- The equation of the normal to the curve y=(1+x)^ 2y + ^2( ^ -1 x) at x = 0 is :
- For some (0, 2 ), if the eccentricity of the hyperbola, x^2-y^2 ^2 =10 is 5 times the eccentricity of the ellipse, x^2 ^2 +y^2=5,...
- A plane passing through the point (3, 1, 1) contains two lines whose direction ratios are 1, –2, 2 and 2, 3, –1 respectively. If...
- Let E^C denote the complement of an event E. Let E_1, E_2 and E_3 be any pairwise independent events with P(E_1)>0 and P(E_1 E_2...
- Let A= X=(x,y,z)^T: PX=0 and x^2+y^2+z^2=1 where P= pmatrix 1&2&1 -2&3&-4 1&9&-1 pmatrix , then the set A :
- Consider a region R= (x,y) R^2: x^2 y 2x . If a line y= divides the area of region R into two equal parts, then which of the...