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Welcome to the BYJU’S JEE questions and answers page! Students and aspirants can access a huge library of questions covering all the important topics that are included in the JEE syllabus. The questions and answers have been prepared by a group of experienced subject matter experts. Students will find questions framed from Physics, Maths and Chemistry subjects.

The JEE questions and answers discussed here will give a much clearer idea of many JEE topics such as gravitation, thermodynamics, atomic structure, chemical bonding, binomial theorem, quadratic equation, etc. The questions have further been answered in an informative and easy to understand manner.

Alternatively, the questions are very important from an examination point of view and can help in quick revision of the different topics. Additionally, students can also clear their doubts and confusion by referring to these questions regarding any concept or topic. Students will find questions that are both conceptual and descriptive including definitions, principles, formulas, examples of, properties of, and types.

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Answer: Take z = x+iy |z| = √(x2+y2) Given |(z+i)/(z-i)| = √3 |(z+i) | = √3|(z-i)| Put z = x+iy |(x+(y+1)i) | = √3|(x+(y-1)i)| Squaring we get x2+(y+1)2 = 3(x2+(y-1)2)...
Answer: In the pharmaceutical industry, amines are mainly used. Morphine and Demerol are used as pain-killing analgesics. Novocaine is used as an anaesthetic and a very popular decongestant is Ephedra...
Answer: Use ω3 = 1 and 1+ω = -ω2  (1+ ω - ω2)7 = (-ω2-ω2)7 = (-2ω2)7 = -27ω14 = -128 ω2 Hence option (4) is the answer...
Answer: Phenols have distinguishing properties and are not categorised as spirits. Due to the close coupling of the aromatic ring with the oxygen and a very weak bond between the oxygen and hydrogen,...
Answer: (3+ω+3ω2)4 = (2+1+ω+ω2+2ω2)4 = (2+0+2ω2)4 = [2(1+ω2)]4 = [2(-ω)]4 = 24 ω = 16ω Hence option (3) is the answer...
Answer: A system is in dynamical equilibrium at equilibrium. At the same time, both the forward and backward responses exist. If the difference in Gibbs energy for the forward reaction is G, so the...
Answer: We know 1+ω+ω2= 0 So ω2 = -(1+ω) |a + bω + cω2| = |a+bω +c(-(1+ω )) | = |(a-c)+(b-c) | greater than or equal to |(a-c)+(b-c)ω2 | (If...
Answer: The primary difference between gypsum and Plaster of Paris is that calcium sulphate dihydrate is found in the gypsum, whereas calcium sulphate hemihydrates are contained in the Plaster of Paris...
Answer: Given z = (7-i)/(3-4i) Multiply numerator and denominator with (3+4i)  (7-i)(3+4i)/(3-4i)(3+4i) = (21-3i+28i+4)/(9+16) = (25+25i)/25 = 1+i z14 = (1+i)14 = ((1+i)2)7 = (1+2i-1)7 =...
Answer: The mass of the formula unit of a substance is the sum of the atomic masses of all atoms in an ionic compound's formula unit. A formula unit in chemistry is the analytical formula used as a...
Answer: ω(1+ ω)3- (1+ω)2 = ω((-ω2)3-(-ω2)2) = ω(-1-ω) = ωω2 = ω3 = 1 Hence option (1) is the answer...
Answer: Given x = α + β, y = αω + βω2, z = aω2 +βω xyz = (α + β)(αω + βω2) (αω2 +βω)  =...
Answer: 1/2 + i √3/2 = cos π/3+i sin π/3 = eiπ/3 = cis(π/3) Fourth root = eiπ/12 = cis(π/12) Hence option (1) is the answer...
Answer: (3 + ω2 +ω4)6 = (2+1+ω2 +ω3ω)6 = (2+1+ω2+ω)6 = 26 = 64 Hence option (1) is the answer...
Answer: Given |z| ≥ 2. It is the region on or outside the circle with center is (0,0) and radius 2. Minimum |z+1/2| is the distance of z which lie on circle |z | = 2 from (-½, 0) Distance...
Answer: z = x+iy Given equation |(z-3i)/(z+3i)| = 1 Put z = x+iy in above equation |(x+iy-3i)/(x+iy+3i)| = 1 |(x+i(y-3))/(x+i(y+3))| = 1 √(x2+(y-3)2)/√(x2+(y+3)2) = 1 √(x2+(y-3)2)...
Answer: |z - 3 - 2i | ≤ 2 |2z - 6 + 5i| = 2|z - 3 + (5/2)i| |z - 3 + (5/2)i| =|z - 3 -2i+2i+(5/2)i| (using triangle inequality) = |(z - 3 -2i)+(9/2)i| ≥ ||z - 3 -2i)|-(9/2)| ≥ |2-9/2|≥...
Answer: Use 1+ω = -ω2 and 1+ω2 = -ω (1 - ω + ω2) = -2ω (1 - ω2 + ω4) = (1 - ω2 + ω3 ω) = (1 - ω2 + ω) = -2ω2...
Answer: The wavelength is defined as the distance between two successive crests or troughs of a wave. A wavelength is measured in the direction of the wave. As the wavelength is distance/length, it is...
Answer: Given1, a1, a2,...an-1 are the nth roots of unity. So xn-1= (x-1)(x-a1)...(x-an-1) ( xn-1)/(x-1) = (x-a1)(x-a2)...(x-an-1) xn-1+xn-2+...x2+x+1 = (x-a1)(x-a2)...(x-an-1) Substitute x = 1 =...
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