Question
How many such pairs of letters are there in the word
‘DEPARTMENT’ each of which has as many letters between them in the word as in the English alphabet? (In both forward and backward directions)Solution
Forward - DE, PR, AE Backward – NR, AD
In â–³ ABC, AB = AC. A circle drawn through B touches AC at D and intersect AB at P. If D is the midpoint of AC and AP = 2.5 cm, then AB is equal to:
If x2 – 10x + 20 = 0, then find the value of (x – 3)2 + 1/(x – 3)2
- If (r + s) = 7 and rs = 15, then find the value of (r² + s²).
A boat covers a distance of 75 km downstream in 2.5 hours. If the ratio of upstream speed to downstream speed of the boat is 3:5, then find the distance...
If (a + b) = 1 and (1/a) – 2b = 5/a then find the value of a2 + b2.
If x 2  – 15x + 51 = 0, then determine the value of (x – 5) + {1/(x – 5)}.
If (a + b) = 7 and ab = 10, then find the value of (a 2 Â + b 2 ).
Determine the remainder when the polynomial 4x 3 Â - 5x 2 Â + 2x + 1 is divided by (4x - 3).
What is the HCF of (x³ + 3x² - x - 3) and (x³ + 4x² + x - 6)?
Relevant for Exams:
