If x = 1 + x^2 ,
find x^4 + x^2 +1
If x^2 + x+1 = 0
Find : x^54 + 1/x^54
Find the number of positive solutions for :
2x+3y more than 60 and 2y+3x less than 60
When the Number N is written in base b, its representation is the 2-digit numerical PQ, where P = b-2 and Q = 1. Find the representation of N in base (b-1).
If 376>n>213 , then for how many values of n, the last 2 digits of the number 110*n and 162*n are the same??(n is natural no)
The volumes of two vessels, which are filled up to the brim by milk of different prices, are 220 L and 180 L. An equal amount of milk is taken out from each of the two vessels, and the milk taken out from the first vessel is poured into the second vessel while the milk taken out from the second vessel is poured into the first vessel. If the price per liter of milk in both the vessels becomes the same eventually, find the volume of milk taken out from each of the two vessels.
A worm which is at the point A of the square ABCD shown in the figure has to crawl and reach its prey located at D. At points B and C, a chemical is placed which repels the worm and the worm cannot travel within a distance of 2 m from the chemical. Each side of the square is 2 m. If the worm can crawl only in the region which is outside the square and to the left of the line AD, what is the minimum distance (in m) to be covered by the worm to reach its prey?
1. 1 + 2pi
2. 2(1 +pi)
3. 2 +pi
4. 2(2pi + 1)
Consider the region enclosed by the graph of |x + y| + |x - y| = 9, in the x-y plane. The points P and Q are two variable points lying in this region. Find the maximum possible distance between the points P and Q.
1. 18 root2
2. 9 root2
3. 9
4. 18
Hello friends i came across an thread in PG, where people share online videos of various topic... but currently this topic is inactive... i request you all to follow this link/page ... so that we all can share videos from youtube or other source which will help us to study... 😁
how many right angled triangles of integer sides are possible given that one sides is 20 units and none of the sides is more than 60 units?
find the number of four digit number with all non zero digits and divisible by 4 but not 8
a- 657
b-585
c-567
d-none
approach please
In a cyclic Quad. ABCD , AC is perpendicular to BD and AC meets BD at E . EA^2+EB^2+EC^2+ED^2=100 . FInd the radius of circumscribed circle ...
I am getting 5 , OA. I dont know
How many ways to climb 8 steps if max steps that can be taken at a time are 2 ?
OA-34
I ordered 4 different books, for 4 of my friends. As the delivery guys messed it up and did not deliver correctly ( They did deliver all though) , I refused to pay them. They counter argued that if one item has been delivered correctly, you ll have to pay for it, at the very least. Satisfied, I decided to pay.
What is the probability that I pay them, any amount ??
Conditional Probability ahoy!
How many odd numbers less than 90 can be expressed as a difference of squares of two natural numbers in exactly one way?
Approach please?
Sonia was sailing upstream in her boat when the wind blew her hat off and the hat started floating back downstream. The boat continued to travel upstream for 24 more minutes before Sonia realized that her hat had fallen off and turned back downstream. She caught up with the hat after some time. Find the speed of the river if Sonia's hat had covered 6 km before Sonia caught it.
If (n - 10) is divisible by 34 where n is a positive integer then the greatest integer which will necessary divide (n + 24) (n + 58) is ____.
A and B start from the opposite ends of a 45 km straight track and run to and fro between the two ends.
The speed of A is 15 m/sec and the speed of B is 125/12 m/sec. They continue this movement for 10 hours. How many times do they pass each other during this period?