If x(3 - 2/x) = 3/x, then the value of x2 + 1/x2 is
21⁄9
24⁄9
31⁄9
34⁄9
Answer: Option B
What number must be added to the expression 16a2 – 12a to make it a perfect square?
9/4
11/2
13/2
16
Answer: Option A
a2 - 2ab + b2 = (a-b)2
∴ 16a2 – 12a = (4a)2 - 2*4a*3/2
Hence, on adding (3/2)2 = 9/4, expression will be a perfect square.
The straight line 2x + 3y = 12 passes through:
1st, 2nd and 3rd quadrant
1st, 2nd and 4th quadrant
2nd, 3rd and 4th quadrant
1st, 3rd and 4th quadrant
Answer: Option B
The usual way to solve these type of questions is to put x = 0 once and find y coordinate. This would represent the point where the line cuts the Y axis.
Similarly put y = 0 once and find x coordinate. This would represent the point where the line cuts the X axis. Then join these points and you will get the graph of the line.
So when we put x = 0 we get y = 4.
When we put y = 0 we get x = 6.
So when we join these points we see that we get a line in 1st quadrant, which when extended both sides would go to 4th and 2nd quadrants. So option B.
The sum of three altitudes of a triangle is
equal to the sum of three sides
Less than the sum of sides
greater than the sum of the sides
Twice the sum of sides
Answer: Option B
AP ∠ AB
BQ ∠ BC
CR ∠ AC
∴ AP + BQ + CR ∠AB + BC + AC
In ΔABC, ∠A + ∠B = 65°, ∠B + ∠C = 140°, then find ∠B.