Linear Programming Class 12 Important Questions with Solutions Previous Year Questions Question 1. A small firm manufactures necklaces and bracelets. The total number of necklaces and bracelets that it can handle per day is at most 24. It takes one hour to make a...

Three Dimensional Geometry Class 12 Important Questions with Solutions Previous Year Questions Question 1. If a line makes angles 90°, 135°, 45° with the x, y and z axes respectively, find its direction cosines. (Delhi 2019) Answer: Let direction cosines of the line...

Vector Algebra Class 12 Important Questions with Solutions Previous Year Questions Algebra of Vectors Question 1. Find the position vector of a point which divides the join of points with position vectors a⃗ −2b⃗  and 22a⃗ +b⃗  externally in the ratio 2:1. (Delhi...

Differential Equations Class 12 Important Questions with Solutions Previous Year Questions Formation of Differential Equations Question 1. Find the order and the degree of the differential equation. (Delhi 2019) x2d2ydx2={1+(dydx)2}4 Answer: Given differential...

Integrals Class 12 Important Questions with Solutions Previous Year Questions Question 1. Find ∫sin2x−cos2xsinxcosx dx. (All India 2017) Answer: = ∫(tan x – cot x) dx = ∫ tan x dx – ∫ cot x dx = log |sec x| – [- log|cosec x|] + C = log |sec x| + log|cosec x| + C = log...

Continuity and Differentiability Class 12 Important Questions with Solutions Previous Year Questions Continuity Question 1. Determine the value of ‘k’ for which the following function is continuous at x = 3: (All India 2017) Answer: Question 2. Determine the value of...

Matrices Class 12 Important Questions with Solutions Previous Year Questions Matrix and Operations on Matrices Question 1. If 3A – B = [5101] and B = [4235] then find the value of matrix A. (Delhi 2019) Answer: Question 2. Find the value of x – y, if (Delhi 2019)...

Inverse Trigonometric Functions Class 12 Important Questions with Solutions Previous Year Questions Question 1. Write the value of tan-1 (√3) – cot-1 (- √3). (All India 2019,13) Answer: We have, tan-1 (√3) – cot-1 (-√3) = tan-1 (√3) – {π – cot-1 (√3)} [∵ cot-1 (- x) =...

Vectors Kinematics Projectile Motion Work, Power and Energy Gravitation Waves Motion Sound Wave Reflection of Light Heat and Temperature Specific Heat Photoelectric Effect

The physics formula list for class 9 is provided below to help students prepare for their exams more effectively. The physics formula sheet will also help students during the time of revision before their exams. Get the list of physics formulas PDF given below.

The physics formula list for class 12 is given below so that students can prepare for their examination more effectively. The physics formula sheet will also help students during the time of revision before their board examination. Get the list of physics Formulas For...

The physics formulas for class 11 PDF is provided here so that students can understand the subject more effectively. Check the physics formula list for class 11 given below. Vectors Kinematics Projectile Motion Work, Power and Energy Gravitation Waves Motion Sound...

1. Metals They possess very low resistivity or high conductivity. ρ ~ 10-2.10-8 Ωm, σ ~102. 108 Sm-1 2. Semiconductors They have resistivity or conductivity intermediate to metals and insulators. ρ ~ 10-5. 106 Ωm, σ ~ 10+5 .10-6 Sm-1 Types of Semiconductors Types of...

1. In every atom, the positive charge and mass are densely concentrated at the centre of the atom forming its nucleus. More than 99.9% mass of the atom is concentrated in the nucleus. 2. Atomic Mass Unit (amu) The unit to express atomic masses is called atomic mass...