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Statement-I : Area bounded by y =e^(x) ...

Statement-I : Area bounded by y =`e^(x) ` ,y=0 and x=0 is 1 square units
Statement -II: Area bounded by y`=log _e x ,x=0 and y=0 ` is 1 square units

A

Statement -I is True statement -II is a correct explanation for statement-I

B

Statement -I is true ,Statement-II is not True explanation for Statement-I

C

Statement -I is True Statement-II is False

D

Statement -I is False,Statement -II is True

Text Solution

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The correct Answer is:
A
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Each question has four choices a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. If both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1 If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. If STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. If STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1 : The area bounded by y=e^x , y=0a n dx=0 is 1 sq. unites. Statement 2 : The area bounded by y=(log)_e x ,x=0,a n dy=0 is 1 sq. units.

Statement 1 : The area bounded by parabola y=x^2-4x+3a n dy=0 is 4/3 sq. units. Statement 2 : The area bounded by curve y=f(x)geq0a n dy=0 between ordinates x=aa n dx=b (where b > a) is int_a^bf(x)dx

Knowledge Check

  • The area (in square unit ) of the figure bounded by y^(2)=12x, x=0 and y=6 is-

    A
    12
    B
    16
    C
    3
    D
    6

  • The area (in square unit ) of the triangle bounded by the lines y=2 , x + y=0 and x-y =0 is-

    A
    4
    B
    8
    C
    12
    D
    16

  • The area (in square unit ) of the region bounded by the line y= |x-1| and y=3- |x| is -

    A
    6
    B
    2
    C
    4
    D
    3

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    If the area bounded by the curves y^2 = 4ax and x^2 = 4ay is (16a^2)/3 sq- unit then find the area bounded by y^2 = 2x and x^2 = 2y

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