The angle bisectors of a triangle meet at a point which is equidistant
from ____ of the triangle.
a) Vertices
b) Sides
c) Midpoints
d) All of them
If x2 – 3x – 4 = 0, then the solution are:
a) x = 4, -1
b) x = -4, 1
c) x = 4, 1
d) x = -4, -1
Explanation: x2 – 3x – 4 = 0
=> x2 – 4x + x – 4 = 0
=> x(x – 4) +1(x – 4) => x = 4, -1
If x varies inversely to y and x = 1 when y = 4. Find value of y when x = 2:
a) 2
b) ½
c) -2
d) -1/2
Explanation: In inverse proportion
k = xy
putting value of x = 1 and y = 4 we get
k = 4
Now when x = 2, y = k/x = y = 4/2 = 2 Ans.
2nd Method : inverse proportion :
x1y1 = x2y2:(x1 = 1, x2 = 2, y1 = 4, y2 = ?)
putting values : 1 × 4 = 2y2
y2 = 4/2 = 2
The median for the values 2, 4, 5, 6, 3 is:
a) 4
b) 2
c) 5
d) 3
Explanation: 2, 4, 5, 6, 3 in ascending order : 2 3 4 5 6 So the middle value is 4
π radians = ________ degrees.
a) 180
b) 270
c) 90
d) 0