4:17
Prove That Cos theta-2 cos cube theta/2 sin cube theta -sin theta =cot theta
53 views • 2 months ago
3:37
Find the distance between the points A (10 cos θ, 0) and B (0, 10 sin θ)
15 views • 2 months ago
2:04
At a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30°
10 views • 2 months ago
2:31
If cos(A+B)=0 and sin(A−B)=1/2, then find the value of A and B.
11 views • 2 months ago
4:20
The sum of an infinite GP is 57 and the sum of their cubes is 9747 . Find the GP.
90 views • 5 months ago
1:02
Use geometric series to express 0.555...=0.¯¯¯5 as a rational number.
21 views • 5 months ago
1:19
If b=a+a2+a3+.∞ prove that a=b/1+b.
20 views • 5 months ago
2:19
What is the locus of z, if amplitude of (z−2−3i) is π/4?
97 views • 5 months ago
5:31
A square is drawn by joining the mid points of the sides of a square. A third square is draw........
67 views • 5 months ago
3:57
After striking the floor a certain ball rebounds 4/5th of its height from which it has fallen...
31 views • 5 months ago
3:25
The sum of an infinite geometric series is 15 and the sum of the squares of these terms is 45.....
17 views • 5 months ago
3:36
Find the modulus and argument of the following complex number and convert them in polar form: 1+3i..
5 views • 5 months ago
1:36
If a,b,c are in G.P., prove that log a, log b, log c are in A.P.
28 views • 5 months ago
2:26
If x=a+a/r+a/r^2+......to infinity. y=b-b/r+b/r^2+.......to infintyz=c+c/r^2+c/r^4+.....to infint...
8 views • 5 months ago
3:14
If x=∞Σn=0 cos2nϕ,y=∞Σn=0 sin2nϕandz=∞Σn=0 cos2nϕ.sin2nϕ, where 0ϕπ2 then prove that, xy+z=xyz.
4 views • 5 months ago
5:59
Find the modulus and argument of the following complex number and convert them in polar form: i−1...
8 views • 5 months ago
3:47
Find the modulus and argument of the complex number 1+2i1−3i
8 views • 5 months ago
3:07
If z and w are two complex numbers such that |zw|=1 and arg(z)−arg(w)=π/2, then show that ¯zw=−i.
10 views • 5 months ago
3:11
If |x| 1 and |y| 1, then the sum of infinity of the series (x+y)+(x2+xy+y2)+(x3+x2y+xy2+y3)...
14 views • 5 months ago
1:16
The sum of infinite G.P is 6. If the first term is 2, its common ratio.
9 views • 5 months ago
2:37
Three numbers whose sum is 15 are in A.P. If 1,4,19 be added to them respectively, then they are....
17 views • 5 months ago
1:38
The inventor of the chess board suggested a reward of one gram of wheat for the first square, 2...
11 views • 5 months ago
1:48
If each term of an infinite G.P. is twice the sum of the terms following it, then the common ratio..
31 views • 5 months ago
1:29
which is the rational number having the decimal expansion 0.¯¯356
19 views • 5 months ago
2:14
If x=1+a+a2+a3+... and y=1+b+b2+b3+...., then show that 1+ab+a2b2+a3b3+...=xy/x+y−1
4 views • 5 months ago
4:42
Find the sum of an infinitely decreasing G.P., whose first term is equal to b+2 and the common...
15 views • 5 months ago
3:06
For any complex number z prove that |Re(z)|+|Im(z)|≤√2|z|
57 views • 5 months ago
1:58
If A=1+ra+r2a+ to ∞andB=1+rb+r2b+∞ , prove that r=(A−1A)1/a=(B−1B)1/b
7 views • 5 months ago
3:11
If p, q, r are in AP then prove that pth, qth and rth terms of any GP are in GP.
12 views • 5 months ago
1:38
The sum of an infinite GP is 8, its second term is 2, find its first term.
24 views • 5 months ago
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