area inscribed by lines

Q1. The area of the region bounded by y = | x – 1 | and y = 3 - |x| is
a. 2
b. 1
c. 4
d. 3

Q2.  The area of the region bounded by y + x = 1 and both the axes
a. 1/2
b. 1
c. 2
d. None of the above

Q3. Find the area of the squares if 2x – 3y + 7 = 0 and 6x – 9y + 8 =0 represent any two sides of the square ?
a. 13/3
b. sqrt(13/3)
c. 13/9
d. sqrt(13)/3

Q4.  Find the area of the trainable formed by x – axis, y –axis and the line 3y = 6 – 2x
a. 6
b. 4
c. 3
d. 7

Q5.  The sides of a right-angeled triangle are 3y + 4x, 3x + 4y and 5x + 5y units (x >=0, y>=0). Then
a. at least one of x and y is zero
b. exactly one of x and y is zero.
c. sum of x and y can never be 1
d. sum of x and y can never be 2

Q6. Find the area of the trapezium formed by the co-ordinate axes and the parallel lines x – y + 2 = 0 and x – y + 5 = 0.
a. 10.5
b. 21
c. 3
d. 7/2

Q7. Find the are of the region bounded by following four straight lines
i. y – 5 = 0
ii. y – 3  = 0
iii. x = 0
iv. 8x + 3y – 24 = 0
a. 10
b. 15/2
c. 20
d. 5/2

   

Q2. The area of the region

Q2.  The area of the region bounded by y + x = 1 and both the axes
a. 1/2
b. 1
c. 2
d. None of the above

ans:

a sitter

the co-oridnates are (0, 0), (1,0) and (0, 1)

area of the right angle triangle = 1/2

Few more ans

Q3. c
Q4. c
Q5. not sure
Q6. a
Q7. b

__________________

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