Question
Two poles are positioned at a certain distance from each
other. A train traveling at a speed of 90 km/hr passes the first pole in 5 seconds and reaches the second pole in 13 seconds. What is the distance between the two poles?Solution
Speed of train = 90 × 5/18 = 25 m/s Length of the train = 25 × 5 = 125 metres Let the distance between the poles be x metres (125 + x)/13 = 25 Or, 125 + x = 325 Or, x = 200 metres Hence, option d.
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 36x + 288 = 0
Equation 2: y² - 36y + 320 = 0
I. (x13/5 ÷7) = 5488 ÷ x7/5
II. (y2/3 × y2/3 ) ÷ √4 = (343y)1/3...
I. 20y² - 13y + 2 = 0
II. 6x² - 25x + 14 = 0
I. 2 x ² + x  – 1 = 0                Â
II. 2 y ² - 3 y + 1 = 0
...Solve the quadratic equations and determine the relation between x and y:
Equation 1: 33x² - 186x + 240 = 0
Equation 2: 35y² - 200y + ...
I. 6x2 - 47x + 77 =0
II. 6y2 - 35y + 49 = 0
Equation 1: x² - 250x + 15625 = 0
Equation 2: y² - 240y + 14400 = 0
I. 10x2 + 33x + 9 = 0
II. 2y2 + 13y + 21 = 0
I. 77x² - 25x – 72 = 0
II. 42y² + 13y – 42 = 0
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