ΔXYZ is similar to ΔPQR. If ratio of perimeters of ΔXYZ : ΔPQR is 3:2 and if PQ = 6 cm then what is the length of XY (in cm)?

What is the slope of the line parallel to the line passing through the points (-2, -1) and (4, -3)?

Point A divides segment BC in the ratio 1:3. Co-ordinates of B are (4,-4) and C are (0,6). What are the co-ordinates of point A?

What is the reflection of the point (2, -3.5) in the y-axis?

If the 1st and the 3rd term of an arithmetic progression are -10 and -4, what is the 12th term?

The sum of a non-zero number and 9 times its reciprocal is 10. What is the number?

If a + b = 3 and ab = -4, then what is the value of a3 + b3?

If -3[1-(x/2)] + 5x/3 = 1/6, then what is the value of x?