English Medium
Academic Year: 2025-2026
Date & Time: 17th February 2026, 10:30 am
Duration: 3h
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General Instructions:
Read the following instructions very carefully and strictly follow them:
- This question paper contains 38 questions. All questions are compulsory.
- This question paper is divided into five Sections – A, B, C, D and E.
- In Section A – Question Nos. 1 to 18 are multiple choice questions (MCQs) and question numbers 19 and 20 are Assertion – Reason based questions of 1 mark each.
- In Section B – Question Nos. 21 to 25 are Very Short Answer (VSA) type questions, carrying 2 marks each.
- In Section C – Question Nos. 26 to 31 are Short Answer (SA) type questions, carrying 3 marks each.
- In Section D – Question Nos. 32 to 35 are Long Answer (LA) type questions, carrying 5 marks each.
- In Section E – Question Nos. 36 to 38 are Case Study Based questions carrying 4 marks each. Internal choice is provided in 2 marks question in each case-study.
- There is no overall choice. However, an internal choice has been provided in 2 questions in Section B, 2 questions in Section C, 2 questions in Section D and 3 questions of 2 marks in Section E.
- Draw neat diagrams wherever required. Take π = `22/7` wherever required, if not stated.
-
Use of calculator is not allowed.
For any natural number n, 6n ends with the digit ______.
0
6
3
2
Chapter:
The graph of y = f(x) is given.
The number of zeroes of f(x) is:
0
1
2
4
Chapter:
If a pair of linear equations in two variables is represented by two coincident lines, then the pair of equations has ______.
a unique solution
two solutions
no solution
an infinite number of solutions
Chapter:
The common difference of the AP `sqrt2, 2sqrt2, 3sqrt2, 4sqrt2,` .... is ______.
`sqrt2`
1
`2sqrt2`
`-sqrt2`
Chapter:
If ∆ ABC and ∆ DEF are similar such that 2AB = DE and BC = 8 cm, then EF = ______.
16 cm
12 cm
8 cm
4 cm
Chapter:
The mid-point of the line segment joining the points (5, 4) and (6, 4) lies on ______.
x-axis
y-axis
origin
neither x-axis nor y-axis
Chapter:
Given that sin θ = `a/b` then cos θ is equal to ______.
`b/sqrt(b^2 - a^2)`
`b/a`
`sqrt(b^2 - a^2)/b`
`a/sqrt(b^2 - a^2)`
Chapter:
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If cos A = `1/2` then the value of sin2 A + 2 cos2 A is ______.
`3/2`
`5/4`
−1
`1/2`
Chapter:
The string of a flying kite is tied to a point on the ground. The length of the string between the kite and the point on the ground is 80 m. The string makes an angle of 30° with the ground. The height of the kite above the ground is ______.
`20sqrt3` m
40 m
`40sqrt3` m
`80sqrt3` m
Chapter:
If TP and TQ are two tangents to a circle with centre O from an external point T so that ∠ POQ = 120°, then ∠ PTQ is equal to ______.
60°
70°
80°
90°
Chapter:
In the given figure, PA is a tangent from an external point P to a circle with centre O. If ∠ POB = 125°, then ∠ APO is equal to:
25°
65°
90°
35°
Chapter:
Shown in the given figure is a circle with centre O. The area of the minor sector is 7 cm2. Area of circle is:
84 π cm2
`84/11 cm^2`
84 cm2
`sqrt84/pi cm^2`
Chapter:
In the given figure, O is the centre of circle. XYZ is an arc of the circle subtending an angle of 45° at the centre. If the radius of the circle is 32 cm, then the length of the arc XYZ is:
4 π cm
8 π cm
64 π cm
128 π cm
Chapter:
The radius of a sphere (in cm) whose volume is 36 π cm3, is ______.
3
`3sqrt3`
`3^(2/3)`
`3^(1/3)`
Chapter:
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If the mean and mode of a data are 12 and 21 respectively, then its median is ______.
6
13.5
15
14
Chapter:
A die is thrown once. Probability of getting a number other than 3 is ______.
`1/6`
`3/6`
`5/6`
1
Chapter:
The natural number 2 is ______.
a prime number
a composite number
prime as well as composite
neither prime nor composite
Chapter:
Assertion (A): The polynomial p(y) = y2 + 4y + 3 has two zeroes.
Reason (R): A quadratic polynomial can have at most two zeroes.
Both, Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
Both, Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Chapter:
Assertion (A): The probability that a leap year has 53 Sundays is `2/7`.
Reason (R): The probability that a non-leap year has 53 Sundays is `5/7`.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) is true but Reason (R) is false.
Assertion (A) is false but Reason (R) is true.
Chapter:
Do the points P (1, 0), Q (−5, 0) and R (−2, 5) form a triangle? If so, name the type of triangle formed.
Chapter:
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