Maths · Kendriya Vidyalaya

Practice paper · Bengaluru region

2025-26Class 1280 marks38 questions

30 of its 38 questions are here. The rest have a figure or are still being checked, so for now they're only in the official PDF.

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Source: Kendriya Vidyalaya Sangathan: KVS Bengaluru Region, First Pre Board Examination (2025-26), Class XII Mathematics, Maths, published by KVS. The official PDF

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30 questions

Q1Section A1 mark
$The principal value of sin⁻¹[sin(3π/5)]$
1. A $3π/5$
2. B $2π/5$
3. C $-2π/5$
4. D $π/5$
Q2Section A1 mark
$A and B are two matrices such that AB = A and BA = B then B² is$
1. A $A$
2. B $B$
3. C $0$
4. D $I$
Q3Section A1 mark
$A = [1 1; 1 1], then A¹⁰ is$
1. A $10A$
2. B $9A$
3. C $2⁹A$
4. D $2¹⁰A$
Q5Section A1 mark
$If A is a square matrix of order 3 such that |A| = -5, then value of |-A| is$
1. A $125$
2. B $-125$
3. C $5$
4. D $-5$
Q6Section A1 mark
$If |1 - x 2 3; 0 x 0; 0 0 x| = 0, then its roots are$
1. A $0$
2. B $1$
3. C $0,1$
4. D $0,1,-1$
Q7Section A1 mark
$If y = aeᵐˣ + be⁻ᵐˣ, then d²y/dx² is$
1. A $m²y$
2. B $-m²y$
3. C $my$
4. D $-my$
Q9Section A1 mark
$The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 3x²+36x+5. The marginal revenue, when x = 15 is:$
1. A $116$
2. B $96$
3. C $90$
4. D $126$
Q10Section A1 mark
$Integrating factor of the differential equation dy/dx = cosy/(1-xsiny) is$
1. A $cosy$
2. B $-secy$
3. C $secy$
4. D $tany$