Question
Five dancers of a dance troupe are standing on a stage
facing north. P is 60 m to the right of Q. S is standing 60 m to the north of Q. R is standing 20 m to the left of S. T is standing to the south of R and left of Q. In what direction is R standing with respect to P, and what is the shortest distance between them?Solution
Required distance = √ 80² + 60² = √ 6400 + 3600 = √ 10000 = 100 m.
- If (x 2 = 2x – 1), then find the value of [x³ + (x⁴/1)][1 - x³]
If the ratio of the areas of two triangles is 4:3 and the ratio of their heights is 3:4, then the ratio of the lengths of their bases will be
If p = 36 - q - r and pq + r(q + p) = 310, then find the value of (p² + q² + r²).
22% of ‘x’ is equal to 66% of ‘y’, then find the value of x: y.
- If (u + v) = 11 and uv = 24, then find the value of (u² + v²).
Out of total number of people in an office, 40% are males. Ratio of number of married to that of unmarried people in the office is 3:2 while ratio of nu...
if a2 + b2 + c2 = 2(4a -5b -6c)-77 , then a-b-c = ?
If [8(x + y)3 – 27(x – y)3] ÷ (5y – x) = Ax2 + Bxy + Cy2, then the value of (A2 - 2B + 3C)...
A train can cross a pole, a bridge of 720 meter long and platform of 640 meter long in 9 seconds, _____ seconds and 25 seconds, respectively.
The...