##### JEE Questions

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.

##### Featured Videos

How to draw a graph of Quadratic Polynomial

Newton's Second Law of Motion

Energy Change in Bond Formation

Free Body Diagram

Answer: Solution: (4) S = {1, 2, 3, 4} According to the definition of disjoint sets, if there exist two sets A and B, A ⋂ B = ɸ. Every element of S can be an element of A or of B or of neither of the...
Answer: Solution: (2) Let the number of elements in set A be p and set B be q. The power set of A is P (A) and B is P (B). P (A) has 2p elements and P (B) has 2q elements.  2p - 2q = 56 2q...
Answer: If A, B and C are three sets such that A ∩ B = A ∩ C and A ∪ B = A ∪ C, then (1) A = C (2) B = C (3) A ∩ B = ϕ (4) A = B Solution: (B) Given that A ∪ B = A ∪ C ⇒...
Answer: Trigonometry is an important branch of mathematics that deals with finding the missing sides and angles of a right angled triangle. Trigonometry consists of different ratios, functions and...
Answer: In Algebra, the linear equation is defined as an algebraic equation, in which each term has an exponent value of 1. If the linear equation is graphed, it should always result in a straight line...
Answer: In geometry, a solid that is made up of four triangular faces is called tetrahedron. Also, a pyramid that has its base, triangle in shape is called a triangular pyramid. See the diagram below to...
Answer: Tan, cos and sin are three primary trigonometric functions or trigonometric ratios. Tan, cos and sin are abbreviations of tangent, cosine and sine respectively. Definitions of Sin, Cos and Tan:...
Answer: In trigonometry, sine is one of three primary functions. Sine function is abbreviated as sin. To calculate the sine of an angle we have to know the length of the side opposite to the angle and...
Answer: A circle is not a solid shape. A circle is a closed, two-dimensional figure or a flat figure. Therefore, it is a plane shape. A circle is a round figure that does not have any sides or corners...
Answer: The six trigonometric identities or the trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant and Cotangent. They are abbreviated as sin, cos, tan, sec, cosec and cot. Among the six...
Answer: Solution: Given an = i (n+1)2 a1 + a3 +a5+...+a25 = There are 13 odd numbers from 1 to 25. =i4 +i16+i36+...i676 = 1+1+1+...1 (since i4 = 1) = 13 Hence option (1) is the answer...
Answer: Solution: |z+a|2 = |a|2-b This will represent a circle if |a|2-b > 0 or |a|2 >b Hence option (1) is the answer...
Answer: Solution: Given Consider z = x+iy So |2iy|+|2x| = 2 2y+2x = 2 => x+y = 1 z lies on a straight line. Hence option (4) is the answer...
Answer: Solution: Given ..(1) Let z = x+iy = x-iy = 2x = 2iy Substituting above values in (1) (3+i)2x-(2+i)2iy+14i = 0 6x+2ix-4iy+2y+14i = 0 (6x+2y)+(2x-4y+14)i = 0 Comparing real part 6x+2y = 0...
Answer: Solution: Given |Z| ≤ 1and |W|≤ 1 |Z + iw| = Let Z = x1+iy w = x2+iy2 Hence x12+y12 ≤ 1 x22+y22 ≤ 1 So |Z+iw| = |x1+y1+i(x2+iy2)| = 2 (x1-y1)2+(y2+x2)2 = 4 ....(1) Also |Z+iw| =...
Answer: Solution: If Z = x+iy, then conjugate of Z is (x-iy) Z = 4/(1-i) = 4(1+i)/(1-i)(1+i) = 4(1+i)/2 = 2(1+i) = 2(1-i) Hence option (1) is the answer...
Answer: Solution: Given |z1 + z2|2 = |z1|2 + |z2|2 ⇒ ⇒ ⇒ ⇒ ⇒ ⇒ Thus z1/z2 is purely imaginary. Hence option (2) is the answer...
Answer: Modulus of elasticity is a property that measures the resistance of materials towards deformation under load. Modulus of elasticity, also known as Young’s modulus is the coefficient of...
Answer: One of the properties of matrix multiplication is associative property of multiplication.  Consider 3 matrices A, B and C, if and only if the total number of columns of A = total number of...
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