JEE Advanced questions
829 published questions with worked solutions.
- There are three bags B_1, B_2 and B_3. The bag B_1 contains 5 red and 5 green balls, B_2 contains 3 red and 5 green balls, and...
- In a non-right-angled triangle PQR, let p,q,r denote the lengths of the sides opposite to the angles at P,Q,R respectively. The...
- Define the collections E_1,E_2,E_3, of ellipses and R_1,R_2,R_3, of rectangles as follows: E_1: x^2 9 + y^2 4 =1; R_1: rectangle...
- Let denote a curve y=y(x) which is in the first quadrant and let the point (1,0) lie on it. Let the tangent to at a point P...
- Let L_1 and L_2 denote the lines r = i + (- i +2 j +2 k ), R and r = (2 i - j +2 k ), R respectively. If L_3 is a line which is...
- Let 1 be a cube root of unity. Then the minimum of the set |a+b +c ^2|^2:a,b,c distinct non-zero integers equals _____
- Let AP(a;d) denote the set of all the terms of an infinite arithmetic progression with first term a and common difference d>0. If...
- Let S be the sample space of all 3 3 matrices with entries from the set 0,1 . Let the events E_1 and E_2 be given by E_1= A S:...
- Let the point B be the reflection of the point A(2,3) with respect to the line 8x-6y-23=0. Let _A and _B be circles of radii 2...
- If I= 2 _ - /4 ^ /4 dx (1+e^ x )(2- 2x) then 27I^2 equals _____
- Three lines are given by r = i , R r = ( i + j ), R and r = ( i + j + k ), R . Let the lines cut the plane x+y+z=1 at the points...
- A thin and uniform rod of mass M and length L is held vertical on a floor with large friction. The rod is released from rest so...
- A mixture of ideal gas containing 5 moles of monatomic gas and 1 mole of rigid diatomic gas is initially at pressure P_0, volume...
- A free hydrogen atom after absorbing a photon of wavelength _a gets excited from the state n=1 to the state n=4. Immediately...
- An optical bench has 1.5 m long scale having four equal divisions in each cm. While measuring the focal length of a convex lens,...
- With reference to *aqua regia*, choose the correct option(s)
- Consider the following reactions (unbalanced) Zn + hot conc. H_2SO_4 → **G** + **R** + **X** Zn + conc. NaOH → **T** + **Q**...
- The ground state energy of hydrogen atom is −13.6 eV. Consider an electronic state of He^+ whose energy, azimuthal quantum number...
- The amount of water produced (in g) in the oxidation of 1 mole of rhombic sulphur by conc. HNO_3 to a compound with the highest...
- Total number of *cis* N–Mn–Cl bond angles (that is, Mn–N and Mn–Cl bonds in *cis* positions) present in a molecule of *cis*-...