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11th Science Math Exam Paper

This document outlines the structure and content of the First Term Examination for 11th Science Mathematics & Statistics at Nagesh Karajagi Orchid Junior College, Solapur. It includes multiple-choice questions, short answer questions, and longer problem-solving sections, covering various mathematical concepts. The exam is designed to assess students' understanding of topics from chapters 1 to 4, with a total of 50 marks available.

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57 views5 pages

11th Science Math Exam Paper

This document outlines the structure and content of the First Term Examination for 11th Science Mathematics & Statistics at Nagesh Karajagi Orchid Junior College, Solapur. It includes multiple-choice questions, short answer questions, and longer problem-solving sections, covering various mathematical concepts. The exam is designed to assess students' understanding of topics from chapters 1 to 4, with a total of 50 marks available.

Uploaded by

vinayakike286
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 5

SONASHANKAR DNYANVIKAS TRUST’S

NAGESH KARAJAGI ORCHID


JUNIOR COLLEGE,SOLAPUR
First Term Examination
Std: 11th Science Subject: Mathematics & Statistics Time: 2Hrs
Date : Math-1 & 2 (Ch-1 to 4 ) Max Marks: 50

Section A ( MCQ & VSA 1 MARKS Questions)


Q.1 Select and write the correct answer: 10
(i) In ∆ABC if cotA cotB cotC > 0 then the triangle is....
(a) Acute angled (b) right angled
(c) obtuse angled (d) isosceles right angled
(ii) The sum of a certain number of terms of an AP series -8, -6, -4, ............is 52. The number of terms is
(a) 12 (b) 14 (c) 11 (d) 13
(iii) Law, which does not hold in multiplication of matrices is known as

(a) distributive law (b) Inverse law


(c) Associative law (d) Communicative law
(iv)

is a singular matrix then.....


(a) λ = 0 (b) λ² - 3λ - 4 = 0
(c) λ² + 3 - 4 = 0 (d) λ² - 3λ -6 = 0
(v)

Q.2 Answer the following: 4

i)Find the signs of the following: cos 400°.

ii) Express the following as a sum or difference of two trigonometric function. 2cos35° cos75°.

iii) Evaluate (i¹³¹ + i⁴⁹)

iv)
Write the conjugates of the following complex number

-√-5
Section B (2 MARKS EACH)

Attempt any Four: 8

Q.3) Four parallel lines intersect another set of five parallel lines. Find the number
Of distinct parallelograms formed.

Q.4)
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Q.5)

where I is the unit matrix of order 2.

Q.6) You have 2 identical books on English, 3 identical books on Hindi, and 4 identical
books on Mathematics. Find the number of distinct ways of arranging them on a shelf.

Q.7)

Q.8) Find the modulus and amplitude for each of the following complex numbers. 1+i

Section C ( 3 MARKS EACH)

Attempt any four: 12


Q.9) How many four digit numbers will not exceed 7432 if they are formed using the
digits 2,3,4,7 without repetition?
Q.10)

Q.11) A pendulum of length 21cm oscillates through an angle of 36°. Find the length of its path.

Q.12) Find the value of x³ - x² + 2x + 10 when x = 1 + √3i.

Q.13) Insert 4 terms between 2 and 22 so that the new sequence is in AP.

Q.14) Using properties of determinants show that:

Section D (4 MARKS EACH)


Attempt any Four: 16

Q.15) The measures of the angles of the triangle are in A.P. The smallest angle is 40. Find
the angles of the triangle in degree and in radians.

Q.16) If sinA + sinB = x and cosA + cosB = y then show that:

Q.17)

show that AB and BA are both singular matrices


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Q.18)

Q.19 ) Prove that tanA + 2tan2A + 4tan4A + 8cot8A = cotA.

Q.20) Determine whether the sum of all the terms in the series is finite. In case it is finite find it.

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