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Consider the curves C1 : x=0,C2 :y =0,...

Consider the curves ` C_1 : x=0,C_2 :y =0, C_3 y =x^(2) +1, C_4 :y=2 ,C_5 : x =1`
the area enclosed between the curves ` C_1 ,C_2 ,C_3 and c_5` is ( in square units ) -

A

`( 5)/(6)`

B

`(4)/(3)`

C

`(2)/(3)`

D

`(7)/(3)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Consider the curves C_1 : x=0,C_2 :y =0, C_3 y =x^(2) +1, C_4 :y=2 ,C_5 : x =1 The area bounded by the curves C_3 and C_4 (in square units )

    A
    `(20)/(3)`
    B
    ` (2)/(3) `
    C
    ` (5)/(6)`
    D
    `(7)/(5)`

  • Consider the curves C_1 : x=0,C_2 :y =0, C_3 y =x^(2) +1, C_4 :y=2 ,C_5 : x =1 The area bounded by the curves C_1 ,C_3 and C_4 and which lies to the right of C_1 is ( in square units )-

    A
    ` (4)/(3)`
    B
    `(5)/(6)`
    C
    `(7)/(5)`
    D
    `(2)/(3)`

  • Consider the two curves C_1:y^2=4x,C^2:x^2-y^2-6x+1=0. Then.

    A
    `C_1`and `C_2` touch each other only at one point
    B
    `C_1` and `C_2` touch each other exaclly at two points
    C
    `C_1` and `C_2` intersect (but do not touch ) at exactly two points
    D
    `C_1` and `C_2` neither intersect nor touch each other

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