11th Standard Syllabus & Materials

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11th Standard Maths English Medium Free Online Test One Mark Questions with Answer Key 2020 - Part Nine

Published on: 11/11/2020

Download Tamil Nadu 11th Standard Maths question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.

Questions + Answers key

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Std: 11th Standard - Maths

chapter: - Model Question paper

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Questions:

Multiple Choice Question

10 x 1 = 10

Find the odd one out of the following

(a)

|x|

(b)

sin x

(c)

cos x

(d)

\(\frac{1}{x}\)

Let A = {-2, -1, 0, 1, 2} and f : A ⟶ Z be given by f(x) = x²- 2x - 3 then preimage of 5 is ___________

(a)

-2

(b)

-1

(c)

(d)

The vector in the direction of the vector\(\hat{i}-2\hat{j}+2\hat{k}\) that has magnitude 9 is _________ .

(a)

\(\hat{i}-2\hat{j}+2\hat{k}\)

(b)

\(\frac { \hat { i } -2\hat { j } +2\hat { k } }{ 3 } \)

(c)

3(\(\hat{i}-2\hat{j}+2\hat{k}\))

(d)

9(\(\hat{i}-2\hat{j}+2\hat{k}\))

|adj A| =_________ where A is a square matrix of order

(a)

|A|

(b)

|A|²

(c)

|A|³

(d)

The value \(\lambda\) for which the equation 12x²- 10xy + 2y²+11x-5y+\(\lambda\) = 0 represent a pair of straight lines is ______________

(a)

\(\lambda\) = 1

(b)

\(\lambda\) = 2

(c)

\(\lambda\) = 3

(d)

\(\lambda\) = 0

Zero of the polynomial p(x) = x² - 4x + 4

(a)

(b)

(c)

-2

(d)

-1

Find the angle between the lines 3x²- 10xy - 3y² = 0 ______________

(a)

90°

(b)

45°

(c)

60°

(d)

30°

There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is

(a)

(b)

(c)

(d)

If a and b are the real roots of the equation x²- kx + c = 0, then the distance between the points (a, 0) and (b, 0) is

(a)

\(\sqrt { { k }^{ 2 }-4c } \)

(b)

\(\sqrt { { 4k }^{ 2 }-c } \)

(c)

\(\sqrt { 4c-{ k }^{ 2 } } \)

(d)

\(\sqrt { k-8c } \)

10.

In a triangle ABC, sin²A + sin²B + sin²C = 2, then the triangle is

(a)

equilateral triangle

(b)

isosceles triangle

(c)

right triangle

(d)

scalene triangle

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Answers Key:

Multiple Choice Question

10 x 1 = 10

(d)
\(\frac{1}{x}\)

(a)
-2

(b)
|A|²

(b)
\(\lambda\) = 2

(b)
2

(a)
90°

\(\text { No. of lines }{ }^{10} \mathrm{C}_{2}-{ }^{4} \mathrm{C}_{2}+1=45-6+1=40\)

\(x^{2}-\mathrm{k} x+\mathrm{c}=0\)
a and b are the roots
\(\therefore a+b=k, a b=c\)
To find
\(\sqrt{(a-b)^{2}+0^{2}}=a-b=\sqrt{(a+b)^{2}-4 a b}=\sqrt{k^{2}-4 c}\)

10.