Let A={2,3,4} and B={8,9,12}. Then the n...

Let `A={2,3,4}` and `B={8,9,12}`. Then the number of elements in the relation `R={((a_1,b_1),(a_2,b_2)) in (A xx B, A xx B) : a_1` divides `b_2` and `a_2` divides `b_1`} is

Text Solution

AI Generated Solution

Topper's Solved these Questions

JEE MAIN 2022
JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos
JEE MAIN 2024
JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

In direct proportion a_1/b_1 = a_2/b_2

If the points (a_1, b_1),\ \ (a_2, b_2) and (a_1+a_2,\ b_1+b_2) are collinear, show that a_1b_2=a_2b_1 .

Let A = {1, 2, 3} and R = {(a,b): a,b in A, a divides b and b divides a}. Show that R is an identity relation on A.

Let A={1,2,3,4} and B={5,7,8,9} be two sets and the relation R from A to B be defined as R={(a,b)in A times B:|a-b| is an even number } .Then the number of elements in the relation R is

If the equation of the locus of a point equidistant from the points (a_1,b_1) and (a_2,b_2) is (a_1-a_2)x+(b_2+b_2)y+c=0 , then the value of C is

Let A={a_1,a_2,a_3,.....} and B={b_1,b_2,b_3,.....} are arithmetic sequences such that a_1=b_1!=0, a_2=2b_2 and sum_(i=1)^10 a_i=sum_(i=1)^15 b_j , If (a_2-a_1)/(b_2-b_1)=p/q where p and q are coprime then find the value of (p+q).

If (b_2-b_1)(b_3-b-1)+(a_2-a_1)(a_3-a_1)=0 , then prove that the circumcenter of the triangle having vertices (a_1,b_1),(a_2,b_2) and (a_3,b_3) is ((a_2+a_3)/(2),(b_2+b_3)/(2)) .

If A_1 and A_2 be the two .Ms between two numbers 7 and 1/7 then (2A_1-A_2)(2A_2-A_1)=

The equation A/(x-a_1)+A_2/(x-a_2)+A_3/(x-a_3)=0 where A_1,A_2,A_3gt0 and a_1lta_2lta_3 has two real roots lying in the invervals. (A) (a_1,a_2) and (a_2,a_3) (B) (-oo,a_1) and (a_3,oo) (C) (A_1,A_3) and (A_2,A_3) (D) none of these

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question

Let a circle of radius of 4 be concentric to the ellipse 15x^2+19y^2=2...
Text Solution
|
Let S={x in (-pi/2,pi/2) : 9^(1-tan^2x)+9^(tan^2x)=10} and beta=sum(x ...
Text Solution
|
Let A={2,3,4} and B={8,9,12}. Then the number of elements in the relat...
Text Solution
|
Let a die be rolled n times. Let the probability of getting odd number...
Text Solution
|
Let S={z=x=iy: (2z-3i)/(4z+2i) is a real number}. Then which of the fo...
Text Solution
|
If Sn=4+11+21+34+50+... to n terms, then 1/60(S(29)-S9) is equal to
Text Solution
|
If A=1/(5!6!7!)[[5!,6!,7!],[6!,7!,8!],[7!,8!,9!]], then |adj(adj(2A))|...
Text Solution
|
Let A be the point (1,2) and B be any point on the curve x^2+y^2=16. I...
Text Solution
|
If the coefficients of x and x^2 in (1+x)^p(1-x)^q are 4 and -5 respec...
Text Solution
|
If the points P and Q are respectively the circumcenter and the orthoc...
Text Solution
|
Let the line x/1=(6-y)/2=(z+8)/5 intersect the lines (x-5)/4=(y-7)/3=(...
Text Solution
|
Suppose a1, a2, 2, a3,a4 be in an arithmeticogeometric progression. If...
Text Solution
|
In the figure theta1+theta2=pi/2 and sqrt3(BE)=4(AB). If the area of t...
Text Solution
|
If the area of the region {(x, y) : |x^2 – 2| le y lex} is A then 6A +...
Text Solution
|
Let the tangent at any point P on a curve passing through the points (...
Text Solution
|
et the foot of perpendicular from the point A(4, 3,1) on the plane P :...
Text Solution
|
The sum of all the four-digit numbers that can be formed using all the...
Text Solution
|
If the domain of the function f(x) = sec^(-1)((2x)/(5x+3)) is [alpha ,...
Text Solution
|
Let the equations of two adjacent sides of a parallelogram ABCD be 2x ...
Text Solution
|
Let the quadratic curve passing through the point (–1, 0) and touching...
Text Solution
|