Maths · Delhi DoE

Practice paper

2024-25Class 1180 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 XI (2024-25) · Mathematics (English) · Practice Papers-1, Maths, published by Delhi DoE. The official PDF

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23 questions

Q1Section A1 mark
$cos 40° + cos 80° + cos 160° + cos 240° =$
1. A $1/2$
2. B $-1/2$
3. C $1$
4. D $0$
Q2Section A1 mark
$Which of the following is not equal to cos 2x ?$
1. A $cos² x - sin² x$
2. B $1 - 2 sin² x$
3. C $1 - 2 cos² x$
4. D $(1 - tan² x)/(1 + tan² x)$
Q3Section A1 mark
$Greatest value of sinx cos x is :$
1. A $0$
2. B $-1$
3. C $1$
4. D $0.5$
Q4Section A1 mark
$The domain of the function f given by f(x) = (x-4)/(x²-16) is equal to :$
1. A $R-{4}$
2. B $R-{-4}$
3. C $R$
4. D $R-{4,-4}$
Q5Section A1 mark
$If [x]² - 5[x] + 6 = 0 where [.] denotes the greatest integer function, then.$
1. A $x \in [3,4]$
2. B $x \in (2,3]$
3. C $x \in [2,3]$
4. D $x \in [2,4)$
Q7Section A1 mark
$(1+i)⁴ = p+iq then (p² + q²) equals to :$
1. A $2$
2. B $4$
3. C $8$
4. D $16$
Q8Section A1 mark
$If z = (3 + \sqrt2 i) then z X z equals:$
1. A $11$
2. B $7$
3. C $\sqrt11$
4. D $5$
Q9Section A1 mark
$If z = ((2+3i)(3+4i))/(4+5i), then Im (z . z̄) equals to :$
1. A $0$
2. B $5\sqrt13/\sqrt41$
3. C $\sqrt13/\sqrt41$
4. D $5/\sqrt41$