Question
The value of (1024)n/5 ×
4(2n+1)/ 16n × 4(n- 1) = ?Solution
(1024)n/5 × 4(2n+1)/ 16n × 4(n- 1) ⇒ (4⁵)n/5 × 4(2n+1) /42n × 4(n-1) ⇒ 4(n+2n+1) /4(2n+n- 1) ⇒ 4(3n+1) /(4(3n- 1) ⇒ 4(3n+1-3n+1) ⇒ 4² = 16
In a ∆ ABC, the angle bisector of ∠A, ∠B, ∠C meet at point I, if ∠AIC is double of equilateral ∆ , then find the ∠ABC =? (in degree)
...Given are three points A(2, 7), B(4, -1), C(- 2, 6) on a plane. What kind of triangle is formed by joining the points A, B, and C?
- Two chords, AB and CD, of a circle intersect at an external point E. Given that the lengths of BE and DE are 12 cm and 8 cm, respectively, and the total le...
Length and breadth of a rectangle are 8 cm and 6 cm respectively. The rectangle is cut on its four vertices such that the resulting figure is a regular ...
Right triangle with sides 15 cm, 20 cm, 25 cm. Find radius of incircle.
In ∆ABC , G is the centroid , AB = 8 cm, BC= 10 cm and AC = 12 cm , find GD, where D is the mid-point of BC?
Find the area of triangle having sides 3m, 4m, and 5m.
The radius of a circle is 17 cm, and the length of the chord is 30 cm. Find the distance between the chord and the centre of the circle.
In a triangle PQR, ST is drawn parallel to side QR. If PS = 8 cm, QS = 5 cm and PT = 14 cm, then find PR.
If in a ΔABC, the external angle bisector of angle A, meets BC when extended at a point D, BD = 5cm , BC = 3 cm then what is AB:AC ?