Maths · Delhi DoE

Practice paper · Mid-term

2025-26Class 1280 marks38 questions

23 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: Directorate of Education, Delhi: Class XII (2025-26) · Mathematics (English) · Practice Papers-1, Maths, published by Delhi DoE. The official PDF

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23 questions

Q1Section A1 mark
$If f(x)=x tan⁻¹ x, then f'(1) is equal to:$
1. A $π/4 - 1/2$
2. B $π/4 + 1/2$
3. C $-π/4 - 1/2$
4. D $-π/4 + 1/2$
Q2Section A1 mark
$Domain of f(x)=sin⁻¹ x+cos x is$
1. A $ℝ$
2. B $(-1,1)$
3. C $[0,\infty)$
4. D $[-1,1]$
Q4Section A1 mark
$A function f(x)=10-x-2x² is increasing on the interval is:$
1. A $(-\infty, -1/4]$
2. B $(-\infty, 1/4)$
3. C $[-1/4, \infty)$
4. D $[-1/4, 1/4]$
Q5Section A1 mark
$If A is a square matrix of order 4 and |adj A|=27, then A(adj A) is equal to:$
1. A $3$
2. B $9$
3. C $3I$
4. D $9I$
Q6Section A1 mark
$A function f : R \to R defined as f(x)=x²-4x+5 is:$
1. A $injective but not surjective$
2. B $surjective but not injective$
3. C $both injective and surjective$
4. D $neither injective nor surjective$
Q7Section A1 mark
$If the matrix A=[0 r -2; 3 p t; q -4 0] is skew-symmetric, then value of (q+t)/(p+r) is\dots.$
1. A $-2$
2. B $0$
3. C $1$
4. D $2$
Q9Section A1 mark
$If A=[-3 4 7][2 1.5; 1 0; -1 8], then order of A is:$
1. A $3\times2$
2. B $1\times3$
3. C $2\times2$
4. D $1\times2$
Q12Section A1 mark
$Derivative of sin³ x with respect to cos³ x is:$
1. A $tan x$
2. B $-tan x$
3. C $cot x$
4. D $-cot x$