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Class 12 · Mathematics · Mathematics - Part I

1. Relations and Functions

Chapter test

Practise 19 questions from this chapter

Timed, with answers, explanations and where your marks went.

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Try question 1

R = {(T₁, T₂) : T₁ is similar to T₂} on triangles. Triangles P (sides 3, 4, 5), Q (6, 8, 10) and S (5, 12, 13): which pair is related?

Answer and explanation

Answer: A. P and Q

6 : 8 : 10 = 3 : 4 : 5, so P and Q are similar; 5 : 12 : 13 is a different ratio.

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Try question 2

R = {(a, b) : a = b − 3, b > 5} on N. Which pair belongs to R?

Answer and explanation

Answer: B. (4, 7)

For (4, 7): 7 > 5 and 4 = 7 − 3. (2, 5) fails b > 5; the others fail a = b − 3.

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Try question 3

f : R → R is given by f(x) = 5x. Then f is

Answer and explanation

Answer: A. one-one and onto

5x₁ = 5x₂ gives x₁ = x₂; and any y is f(y/5).

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All 19 questions of this chapter, with explanations →