1.
In which quadrant does the point(-7, 6) lie?
Answer: Option 'B'
The point (-7, 6) lies in 2nd quadrant.
2.
In which quadrant does the point(1, 5) lie?
Answer: Option 'A'
The point (1, 5) lies in 1st quadrant.
3.
Find the value of k for which the points A(-2, 6), B(5, k) and C(8, 3) are collinear.
Answer: Option 'A'
x1 = -2, x2 = 5, x3 = 8 and y1 = 6, y2 = k, y3 = 3
Now Δ = 0 <=> -2(k - 3) + 5(3 - 6) + 8(6 - k) = 0
<=> -2 (k-3) + 5(-3) + 8(6-k) = 0
<=> -2k + 6 - 15 + 48 - 8k = 0
<=> 39 - 10k = 0
<=> k = -(39/10)
<=> k = 3.9.
4.
In which quadrant does the point(9, 0) lie?
Answer: Option 'A'
The point (9, 0) lies in y-axis.
5.
The distance between the points A(5, -7) and B(2, 3) is:
Answer: Option ''
AB2 = (2 - 5)2 + (3 + 7)2
=> (-3)2 + (10)2
=> 9 + 100 => √109