Question
5 positive numbers are written on a piece of paper. Sum
of first 3 numbers is 55 and ratio of the 4th and the 5th number is 2:3. If difference between the 4th and the 5th number is 12, then find the average of all the numbers.Solution
Given, 4th number:5th number = 2:3 Let, 4th number = 2x 5th number = 3x So, 3x – 2x = 12 Or, x = 12 Required average = {(55 + 12 × 2 + 12 × 3)/5} = (115/5) = 23
The length of the each side of an equilateral triangle is 63√3 cm . The area of circumcircle, (cm 2 ) is
∆ABC and ∆DEF are similar and their areas are respectively 16 cm2 and 64 cm 2 . If EF = 6 cm BC is?
Which of the following statements are true about the circumference and diameter of a circle?
The length of the each side of an equilateral triangle is 28 cm. The area of incircle, (cm 2 ) is
In parallelogram ABCD, point E is located on side AB, and line segment DE is drawn perpendicular to AB. Given that AD measures 5 cm, AB is 12 cm, and AE...
Find the distance between two parallel chords of length 24 cm each in a circle of diameter 25 cm?
If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 300 then ∠BAC = ?
What will be circumradius of a right angle triangle whose base is 9 cm & height is 40 cm ?
The internal bisector of ∆ABC at ∠A cuts BC on D and cuts the circumcircle at E. If DE = 6cm, AC = 8cm and AD = 10 cm, then find the length of AB?
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