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Academic Year: 2017-2018
Date: मार्च 2018
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Find the magnitude of each of two vectors `veca` and `vecb` having the same magnitude such that the angle between them is 60° and their scalar product is `9/2`
Chapter: [0.1] Vectors
Find the value of `tan^(-1) sqrt3 - cot^(-1) (-sqrt3)`
Chapter: [0.02] Inverse Trigonometric Functions
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If a * b denotes the larger of 'a' and 'b' and if a∘b = (a * b) + 3, then write the value of (5)∘(10), where * and ∘ are binary operations.
Chapter: [0.01] Relations and Functions
if the matrix A =`[(0,a,-3),(2,0,-1),(b,1,0)]` is skew symmetric, Find the value of 'a' and 'b'
Chapter: [0.03] Matrices
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A black and a red dice are rolled.
Find the conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4.
Chapter: [0.13] Probability
If θ is the angle between two vectors `hati - 2hatj + 3hatk and 3hati - 2hatj + hatk` find `sin theta`
Chapter: [0.1] Vectors
Find the differential equation representing the family of curves `y = ae^(bx + 5)`. where a and b are arbitrary constants.
Chapter: [0.09] Differential Equations
Evaluate : \[\int\frac{\cos 2x + 2 \sin^2 x}{\cos^2 x}dx\] .
Chapter: [0.07] Integrals
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CBSE previous year question papers Class 12 Mathematics with solutions 2017 - 2018
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