11th Standard Syllabus & Materials

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11th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - Part Five

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.

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Std: 11th Standard - Maths

chapter: - Model Question paper

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Questions:

Multiple Choice Question

10 x 1 = 10

Assertion (A): Every body in a room shakes hands with everybody else. The total number of persons in the room is n. The number of hand shakes is \(\frac{n(n-1)}{2}\)
Reason (R): The number of handshakes is nC₂

(a)

Both A and R are true and R is the correct explanation of A

(b)

Both A and R are true but R is not the correct explantion of A

(c)

A is true R is false

(d)

is false R is true

At x \(={3\over 2}\) the function \(f(x)={|2x-3|\over 2x-3}\) is

(a)

continuous

(b)

discontinuous

(c)

differentiable

(d)

non-zero

Which one of the following is false?

(a)

(A')' = A

(b)

AUA' = A

(c)

A⋂A' = Ø

(d)

AUA' = U

There is a letter lock with 3 rings each marked with 5 letters and do not know the keyword. The total number of attempts can be made to know the keyword is _________

(a)

3⁵

(b)

5³

(c)

124

(d)

If \(\alpha\) and \(\beta\) are the roots of 2x² - 3x - 4 = 0 find the value of \(\alpha^2+\beta^2\)

(a)

\(\frac{41}{4}\)

(b)

\(\frac{\sqrt{14}}{2}\)

(c)

(d)

none of these

Domain of the function \(y={x-1\over x+1}\) is __________

(a)

(b)

(c)

R-(-1)

(d)

R-1

The distance between the line 12x - 5y + 9 = 0 and the point (2, 1) is ______________

(a)

\(\pm\frac{28}{13}\)

(b)

\(\frac{28}{13}\)

(c)

\(-\frac{28}{13}\)

(d)

none of these

The nth term of a G.P is 128 and the sum of its n terms is 225. If its common ratio is 2, then its first term is ______________

(a)

(b)

(c)

(d)

none of these

Find a so that the sum and product of the roots of the equation 2x²+ (a - 3) x + 3a - 5 = 0 are equal is

(a)

(b)

(c)

(d)

10.

If n((A \(\times\) B) ∩(A \(\times\) C)) = 8 and n(B ∩ C) = 2, then n(A) is

(a)

(b)

(c)

(d)

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Answers Key:

Multiple Choice Question

10 x 1 = 10

(a)
Both A and R are true and R is the correct explanation of A

\(f(x)=\frac{|2 x-3|}{2 x-3} \text { is not defined at } x= \frac{3}{2}\)
\(\therefore f(x) \text { is not continuous at } x=\frac{3}{2}\)

(b)
AUA' = A

(b)
5³

(b)
\(\frac{\sqrt{14}}{2}\)

(b)
\(\frac{28}{13}\)

(a)
1

\(2 x^{2}+(a-3) x+3 a-5=0\)
\(\text {Sum }=\frac{-(a-3)}{2} ; \quad \text { Product }=\frac{3 a-5}{2}\)
\(\text {Given they are equal, } \frac{-(a-3)}{2}=\frac{3 a-5}{2}\)
\(-4 a =-8 \)
\(a =2 \)

10.

\((A \times B) \cap(A \times C) =A \times(B \cap C) \)
\(n[(A \times B) \cap(A \times C)] =n(A) \times n(B \cap C) \)
\(\Rightarrow 8 =n(A) \times 2 \Rightarrow n(A)=4 \)