Let -p- q- r- - - - and -5- 6- 7- Consider the relation -1 from - to - and -2 from - to - such that R1-p-a-q-b-r-c R2-a-5- b-6- c-7Then which of the following is-are TRUE-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Domain

Let 𝑋=p, q, ...

Question

Let $X = {p, q, r},$ $Y = {a, b, c}$ and $Z = {5, 6, 7}$ . Consider the relation $R_{1}$ from $X$ to $Y$ and $R_{2}$ from $Y$ to $Z$ such that $R_{1} = {(p, a), (q, b), (r, c)}$
$R_{2} = {(a, 5), (b, 6), (c, 7)}$
Then which of the following is/are TRUE?

Range of

R_{2} o R_{1}

{5, 6, 7}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Domain of

R_{2} o R_{1}

{p, q, r}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Domain of

R_{2} o R_{1}

{a, b, c}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Range of

R_{2} o R_{1}

{a, b, c}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B Domain of $R_{2} o R_{1}$ is ${p, q, r}$
$R_{1} = {(p, a), (q, b), (r, c)}$
$R_{2} = {(a, 5), (b, 6), (c, 7)}$
And $R_{2} o R_{1} = {(p, 5), (q, 6), (r, 7)}$

Domain of $R_{2} o R_{1}$ is ${p, q, r}$
Range of $R_{2} o R_{1}$ is ${5, 6, 7}$

Suggest Corrections

Similar questions

Q. Let A = [p, q, r, s] and B = [1, 2, 3]. Which of the following relations from A to B is not a function?

(a) R₁ = [(p, 1), (q, 2), (r, 1), (s, 2)]
(b) R₂ = [(p, 1), (q, 1), (r, 1), (s, 1)]
(c) R₃ = [(p, 1), (q, 2), (p, 2), (s, 3)
(d) R₄ = [(p, 2), (q, 3), (r, 2), (s, 2)].

Q. If ΔABC

≅

ΔPQR and ΔABC is not congruent to ΔRPQ, then which of the following is not true:

(a) BC = PQ

(b) AC = PR

(c) AB = PQ

(d) QR = BC

Q. If ∆ABC ≅ ∆ PQR and ∆ABC is not congruent to ∆RPQ, then which of the following is not true?
(a) BC = PQ
(b) AC = PR
(c) BC = QR
(d) AB = PQ

Let A = {p. q, r, s} and B = {1, 2, 3}. Which of the following relations from A to B is not a function?
(i) $R_{1} = {(p, 1), (q, 2), (r, 1), (s, 2)}$
(ii) $R_{2} = {(p, 1), (q, 1), (r, 1), (s, 1)}$
(iii) $R_{3} = {(p, 1), (q, 2), (r, 1), (s, 2)}$
(iv) $R_{4} = {(p, 2), (q, 3), (r, 2), (s, 2)}$

Q. The construction of a ∆PQR in which QR = 5.4 cm and ∠Q = 60° is not possible when (PQ + QR) is
(a) 6 cm
(b) 6.5 cm
(c) 5 cm
(d) 7 cm

Join BYJU'S Learning Program

Let X={p,q,r}, Y={a,b,c} and Z={5,6,7}. Consider the relation R1 from X to Y and R2 from Y to Z such that R1={(p,a),(q,b),(r,c)} R2={(a,5),(b,6),(c,7)} Then which of the following is/are TRUE?

The correct option is B Domain of R2oR1 is {p,q,r}R1={(p,a),(q,b),(r,c)} R2={(a,5),(b,6),(c,7)} And R2oR1={(p,5),(q,6),(r,7)} Domain of R2oR1 is {p,q,r} Range of R2oR1 is {5,6,7}

Let $X = {p, q, r},$ $Y = {a, b, c}$ and $Z = {5, 6, 7}$ . Consider the relation $R_{1}$ from $X$ to $Y$ and $R_{2}$ from $Y$ to $Z$ such that $R_{1} = {(p, a), (q, b), (r, c)}$
$R_{2} = {(a, 5), (b, 6), (c, 7)}$
Then which of the following is/are TRUE?

The correct option is B Domain of $R_{2} o R_{1}$ is ${p, q, r}$
$R_{1} = {(p, a), (q, b), (r, c)}$
$R_{2} = {(a, 5), (b, 6), (c, 7)}$
And $R_{2} o R_{1} = {(p, 5), (q, 6), (r, 7)}$

Domain of $R_{2} o R_{1}$ is ${p, q, r}$
Range of $R_{2} o R_{1}$ is ${5, 6, 7}$