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 - Section A, B, C, D and E.
- In Section A, questions numbers 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 numbers 21 to 25 are very short answer (VSA) type questions, carrying 2 marks each.
- In Section C, question numbers 26 to 31 are short answer (SA) type questions, carrying 3 marks each.
- In Section D, question numbers 32 to 35 are long answer (LA) type questions, carrying 5 marks each.
- In Section E, question numbers 36 to 38 are case-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.
Which of the following equations is/are quadratic equation(s)?
q1: (y + 1)2 = 2y
q2: (y – 1)2 = y2
q3: (y + 1)3 = (y – 1)3
`q_4: 1 + sqrt(y) = (sqrt(y) + 1)^2`
q1, q2 and q4
q1 and q2
q1, q3 and q4
q1 and q3
Chapter:
The discriminant of the quadratic equation ax2 + x + a = 0 is ______.
`sqrt(1 - 4a^2)`
1 – 4a2
4a2 – 1
`sqrt(4a^2 - 1)`
Chapter:
The end points of the diameter AB of a circle are A(4, 0) and B(0, –4). The length of the diameter is ______.
3 units
8 units
`sqrt(8)` units
`sqrt(32)` units
Chapter:
In the adjoining figure, if ΔAOB ~ ΔCOD, then which of the following is true?
AO.OB = OC.OD
AO.CD = OC.AB
AO.AB = OC.CD
AO.OC = OB.OD
Chapter:
In the adjoining figure, if EA || SR and PE = x cm, then the value of 5x is:
2.4 cm
12 cm
1.35 cm
6.75 cm
Chapter:
Which of the following graphs represents a polynomial with both zeroes being positive?
Chapter:
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The system of equations x = 2 and x = 3 has:
unique solution (2, 3)
two solutions (2, 0) and (3, 0)
no solution
infinitely many solutions
Chapter:
If the numbers 2p + 1, 3p + 2, 4p + 3 are in A.P., then the common difference is ______.
p
1
p + 1
0
Chapter:
Which of the following statements is not true?
sin 0° = cos 0°
tan 30° = cot 60°
sin 30° = cos 60°
`sin 45^circ = 1/(sec 45^circ)`
Chapter:
If `2 sin 2θ = sqrt(2)`, then the value of θ is ______.
90°
60°
45°
`(22 1/2)^circ`
Chapter:
In the adjoining figure, the angle of elevation of the point C from the point B, is:
30°
45°
22.5°
67.5°
Chapter:
In the adjoining figure, the slant height of the conical part is:
4 cm
7 cm
5 cm
25 cm
Chapter:
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| Class | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 |
| Frequency | 3 | 5 | 7 | 9 | 11 |
The upper limit of the median class of the above data is:
10
20
30
40
Chapter:
If for a data, median is 5 and mode is 4, then mean is equal to ______.
7
11
`11/2`
`14/3`
Chapter:
The LCM of 22.33 and 32.23 is ______.
1
21.31
23.33
25.35
Chapter:
A letter is selected from the letters of the word FEBRUARY. The probability that it is a vowel is ______.
`1/8`
`2/8`
`3/8`
`3/7`
Chapter:
Which of the following numbers will not end with 0 for any natural number n?
4n
4n
3n + 1
10n + 1
Chapter:
The system of linear equations px + qy = r and p1x + q1y = r1 has a unique solution, if:
pq ≠ p1q1
pp1 ≠ qq1
pq1 ≠ qp1
pqr ≠ p1q1r1
Chapter:
Assertion (A): 7 × 2 + 3 is a composite number.
Reason (R): A composite number has more than two factors.
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, but Reason (R) is not the correct explanation of Assertion (А).
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Chapter:
Other Solutions
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