Home
Class 12
MATHS
If sets A and B are defined as A = {(x...

If sets A and B are defined as
`A = {(x, y) : y = e^(x), x in R}` and B = `{(x, y) : y = x, x in R}`

A

`B sube A`

B

`A sube B`

C

`AnnB = phi`

D

`AuuB=A`

Text Solution

Verified by Experts

The correct Answer is:
C
If the sets A and B ………………
Since `y = e^(x) and y = x` do not meet for any `x epsilon R`
`implies :. A nn B = phi`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise PART : 1MATHEMATICS SEC - 1|1 Videos

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise PART : 1MATHEMATICS|9 Videos

  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos

  • TEST SERIES

    RESONANCE ENGLISH|Exercise MATHEMATICS|132 Videos

Similar Questions

Explore conceptually related problems

If set A and B are defined as A = {(x,y)|y = 1/x, 0 ne x in R}, B = {(x,y)|y = -x , x in R,} . Then

If set A and B are defined as A = {(x,y)|y = 1/x, 0 ne x in R}, B = {(x,y)|y = -x , x in R,} . Then (a) A ∩ B = A (b)A ∩ B = B (c)A ∩ B = ϕ (d)A ∪ B = A

If the sets A and B are defined are defined as A={(x,y):y=e^x, x in R},B={(x,y):y=x, x in R} then

if A={(x,y):x^(2)+y^(2)=4, x,y in R }and B={(x,y):Y=|x|, x , y in R } then

In some question of sets, we have to make the use of graphs For example A={(x,y):y=e^(x), x in R} B={{x,y}: y=-x. x in R} Find n(A cap B) It is clear that y=e^(x) and y=-x intersect at one pont. Hence n(A cap B)=1 A={(x,y):x^(2)+y^(2) le 2, x ,y in R} B={{x,y): y gex^(2),x,y in R} Then domain of A cap B is

In some question of sets, we have to make the use of graphs For example A={(x,y):y=e^(x), x in R} B={{x,y}: y=-x. x in R} Find n(A cap B) It is clear that y=e^(x) and y=-x intersect at one pont. Hence n(A cap B)=1 A={(x,y):y = sin pi x,x in R} B={(x,y):y=|In|x"||",x in R-{0}} Then, n(A cap B)

In some question of sets, we have to make the use of graphs For example A={(x,y):y=e^(x), x in R} B={{x,y}: y=-x. x in R} Find n(A cap B) It is clear that y=e^(x) and y=-x intersect at one pont. Hence n(A cap B)=1 A:{(x,y):y=sqrt(4-x^(2)), x in [-2,2]} B={(x,y):y=|x|, x in R} Then n(A cap B)

if A={(x,y):x^(2)+y^(2)=4,x,y in R } and B={(x,y): x^(2)+y^(2)= 9,x,yin R} ,then

If A={(x ,\ y): y=e^x ,\ x in R}a n d\ B={(x , y): y=e^(-x),\ x in R} , then write AnnBdot

if A={(x,y):y=(4)/(x),xne0}and B= {(x,y):x^(2)+y^(2)=8,x,yin R} ,then

RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
  1. If sets A and B are defined as A = {(x, y) : y = e^(x), x in R} and ...

    Text Solution

    |

  2. The least positive vlaue of the parameter 'a' for which there exist at...

    Text Solution

    |

  3. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  4. If f(x)=x + tan x and f si the inverse of g, then g'(x) equals

    Text Solution

    |

  5. Tangents PA and PB are drawn to parabola y^(2)=4x from any arbitrary p...

    Text Solution

    |

  6. If lim(nrarroo) (n.2^(n))/(n(3x-4)^(n)+n.2^(n+1)+2^(n))=1/2 where "n" ...

    Text Solution

    |

  7. Eccentricity of ellipse 2(x-y+1)^(2)+3(x+y+2)^(2)=5 is

    Text Solution

    |

  8. If (tan^(-1)x)^(3)+(tan^(-1)y)^(3)=1-3tan^(-1)x.tan^(-1)y. Then which ...

    Text Solution

    |

  9. If f:RrarrR is a continuous function satisfying f(0)=1 and f(2x)-f(x)=...

    Text Solution

    |

  10. tan^(-1)(sinx)=sin^(-1)(tanx) holds true for

    Text Solution

    |

  11. The function f(x) = (x^(2) - 1)|x^(2) - 3x + 3|+cos (|x|) is not diffe...

    Text Solution

    |

  12. Consider parabola P(1)-=y=x^(2) and P(2)-=y^(2)=-8x and the line L-=lx...

    Text Solution

    |

  13. If the normals at (x(i),y(i)) i=1,2,3,4 to the rectangular hyperbola x...

    Text Solution

    |

  14. Let f(x) = x^(3) - x^(2) + x + 1 and g(x) = {{:(max f(t)",", 0 le t le...

    Text Solution

    |

  15. The sum of the roots of the equation tan^(-1)(x+3)-tan^(-1)(x-3)="sin"...

    Text Solution

    |

  16. For an ellipse having major and minor axis along x and y axes respecti...

    Text Solution

    |

  17. If f:[0,1]rarrR is defined as f(x)={(x^(3)(1-x)"sin"1/(x^(2)) 0ltxle1)...

    Text Solution

    |

  18. If f(x)=root (3)(8x^(3)+mx^(2))-nx such that lim(xrarroo)f(x)=1 then

    Text Solution

    |

  19. For the curve y=4x^3-2x^5, find all the points at which the tangents p...

    Text Solution

    |

  20. Minimum value of (sin^(-1)x)^(2)+(cos^(-1)x)^(2) is greater than

    Text Solution

    |

  21. If y + b = m(1)(x + a) and y + b = m(2)(x+a) are two tangents to the p...

    Text Solution

    |