Cartesian Product
Trending Questions
Q. ax(1/a-b-1/a+b)+by(1/b-a-1/b+a)=2a/a+b bx+ay=a+b
Q. If A = {1, 3, 5} and B = {2, 3} then find A × B and B × A
- A × B = {(2, 1), (2, 3), (2, 5), (3, 1), (3, 3), (3, 5)}
B × A = {(1, 2), (1, 3), (3, 2), (3, 3), (5, 2), (5, 3)}
- A × B = {(1, 2), (3, 2), (5, 2), (1, 3), (3, 3), (5, 3)}
B × A = {(2, 1), (3, 1), (2, 3), (3, 3), (2, 5), (3, 5)} - A × B = {(1, 2), (1, 3), (3, 2), (3, 3), (5, 2), (5, 3)}
B × A = {(2, 1), (2, 3), (2, 5), (3, 1), (3, 3), (3, 5)} - A × B = {(1, 2), (3, 2), (5, 2), (1, 3), (3, 3), (5, 3)}
B × A = {(1, 2), (1, 3), (3, 2), (3, 3), (5, 2), (5, 3)}
Q. If A × B = { (3, 2), (3, 4), (5, 2), (5, 4) } then find A and B.
- A = {3, 5}
B = {2, 4} - A = {4, 2}
B = {5, 3}
- A = {5, 2}
B = {4, 3} - A = {5, 3}
B = {4, 2}
Q.
103×94
Q.
What kind of function is f(x) =3x?
Cubic Function
Linear Function
Exponential
Quadratic Function
Q. If a/b=b/c, then find the value of 1/(b-c)+1/(c-a)
Q. If A = {x ∈ N | 1 < x < 4},
B = {x ∈ W | 0 ≤ x < 2}
and C = {x ∈ N | x < 3}.
Find (A × B) ∪ (A × C)
B = {x ∈ W | 0 ≤ x < 2}
and C = {x ∈ N | x < 3}.
Find (A × B) ∪ (A × C)
- {(2, 0), (2, 1), (3, 0), (3, 1)}
- {(0, 2), (1, 2), (2, 2), (0, 3), (1, 3), (2, 3)}
- {(2, 0), (2, 1), (2, 2), (3, 0), (3, 1), (3, 2)}
- {(2, 1), (2, 2), (3, 1), (3, 2)}
Q. 3.If a, b, c>0 , then prove that a/b + b/c + c/a > ab+bc+ca
Q. THE VALUE OF A AND B IS A+ A+ A = BA a)5 & 1 b)4 &
Q. If A = {x ∈ N : 3 < x ≤ 6}, then find A×A.
- {(4, 4), (4, 5), (4, 6), (5, 5), (5, 6), (6, 6)}
- {(4, 4), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6)}
- {(4, 5), (4, 6), (5, 4), (5, 6), (6, 4), (6, 5)}
- {(4, 4), (4, 5), (4, 6), (5, 4), (5, 6), (6, 4), (6, 5)}
Q.
Let set A = {1, 2, 3}, set B = {2, 3, 4}, set C = {4, 5}. Find (A ∩ B) × C.
{(2, 4), (2, 5), (3, 4), (3, 5)}
{(4, 2), (5, 2), (4, 3), (5, 3)}
{(1, 2), (1, 3), (2, 3), (2, 4)}
{(2, 3), (2, 4), (3, 5), (3, 4)}
Q. Let A and B be two finite sets such that n(A)=20, n(B)=28 and n(A∪B)=36, find n(A∩B).
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- 18
- 14
- 12
- 10
Q. If A×B={(a, 1), (a, 2), (a, 3), (b, 1), (b, 2), (b, 3)}, then n(A)+n(B)= .
- 7
- 6
- 4
- 5
Q. Rationalize the denominator.
(i) (ii) (iii) (iv) (v)
(i) (ii) (iii) (iv) (v)
Q. The value of [(−2)−5] ÷2−3×373−6×2−5 is
- 1313×27
- −1313×27
- −1213×27
- 313×27
Q. Is remainder theorem only valid for linear divisor or it can also be proved for quadratic, cubic divisor
Q. If (x+3, 5)=(7, 2x+y), then x= and y= .
- -4
- 3
- 4
- -3
Q. If A = {p, q, r} and B = {x, y}, find A × B.
- {(p, q) , (q, r), (r, x), (p, y), (q, y), (r, y)}
- {(p, x), (p, y), (q, x), (q, y), (r, x), (r, y)}
- {(x, x), (p, x), (q, x), (r, x), (y, y), (p, y), (q, y), (r, y)}
- ϕ
Q. If A = {a, b}, B = {b, c} and C = {b, c, d} ; then A × (B ∪ C) = _____ .
- (A × B) ∪ (A × C)
- (A ∪ B) ∪ C
- (A ∪ B) × C
- (A ∩ B) × C
Q. N(U)=14, n((A-B)^c)=12, n(A union B)=9 and n(A∆B)=7 then find n(A) , n(B)
Q. If a + b + c = 16 and a2 + b2 + c2 = 90, then find the
value of a3 + b3 + c3 – 3abc.
Q. If the vertices of a quadrilateral is given by (x2−4)2+(y2−9)2=0 then area of quadrilateral is
- 36
- 24
- 16
- 81
Q. The value of [(−2)−5] ÷2−3×373−6×2−5 is
Q. evaluate
(9/4)-3/2*(125/27)-2/3* (3/5)-3
divided by (root of 2)4
(9/4)-3/2*(125/27)-2/3* (3/5)-3
divided by (root of 2)4
Q. simplify the following (256/625)-3/4
Q. Find 2 zeros of p(x)=3x²+x-1
Q. root 15 + root 15
Q. If A = {p, q, r} and B = {x, y}, find A × B.
- {(p, q) , (q, r), (r, x), (p, y), (q, y), (r, y)}
- {(p, x), (p, y), (q, x), (q, y), (r, x), (r, y)}
- ϕ
- {(x, x), (p, x), (q, x), (r, x), (y, y), (p, y), (q, y), (r, y)}
Q. WHAT IS THE SIMPLIFIED FORM OF THE EXPRESSION (17 ROOT 15 - 3 ROOT 10) DIVIDED BY ROOT 5