The sides of a triangle are given by: square root of b^2+c^2, square root of c^2+a^2 and square root of a2+b^2 where a, b and c are positive. Then the area of triangle equals?
1/2* square root of a^2+b^2+c^2
1/2 *square root of a^4+b^4+c^4
square root of 3*1/2*square root of b^2c^2+c^2a^2+a^2b^2
square root of 3*1/2*(bc+ca+ab)
let c1 and c2 be the inscribed and circumscribed circles of a triangle with sides 3cm, 4cm and 5cm. Then area of c1/area of c2 equals
16/25
4/25
9/25
9/16
How many natural number sets of the form
Sn = {n-4,n-3,n-2,n-1,n,n+1,n+2,n+3,n+4} n
n is a natural number and the set does not contain 10 or any integral multiple of 10
Find the smallest prime number N such that the following is true:
The largest prime factor of N−1 is A; The largest prime factor of A−1 is B; The largest prime factor of B−1 is 7.
Q 7
two good problems :
For a composite positive integer x, denote by pd(x) the smallest positive difference between any two prime divisors of x. Find the smallest possible value of pd(x) for composite x of the form x=n^100+n^99+...+n+1, where n is a positive integer.
2.
The sum of all values of a such that the equation(x^2−x+a+1)^2=4a(5x^2−x+1)has exactly three distinct real solutions, is of the form (n+√k)/m, where k,m,n are integers, k≥0, m≥1 and m is the smallest possible. Find k+n+m.
Q 10
A regular hexagon ABCDEF has area 54_/3 cm². Find the area of triangle AEC and also suppose X mid pt of AB, Y mid pt of EF and Z mid pt of CD, also find area of XYZ?
a hundred and twenty digit no. is formed by writing the first x natural no.s in front of each other as 12345678910111213........ find the remainder when this no. is divided by 8.
0 voters
In a village, there are 2029 people, at least x villagers have the same English initials for their first name and last name. The least value of x is:
if (x+7954*7956) be a square number, then value of 'x' is--
1)1
2)16
3)9
4)4
plz explain ur approach also/// thnx
for how many times does the digit 5 occurs appear in the number from 9 to 1000??300
257
256
299
Here is detailed solution:
interest on a certain sum of money is Rs. 22 and the discount on same sum for same time and at same rate is Rs. 20.
find sum?
reduction in price of apple enables a person to purchase 3 apples for Rs. 1 instead of Rs. 1.25. What is % reduction in price?
monthly income of a person increased to new level, so he could maintain consumption he increased saving. ratio of saving to increased new level %?
A is the set of the first 100 natural numbers. What is the minimum number of elements that should be picked from A to ensure that at least one pair of numbers whose difference is 10 is picked?
(a) 51 (b) 55 (c) 20 (d) 11
Find the sum of all real numbers of the form (n × sin n°) where n is an even natural number and less than or equal to 180°.
90 cos 1°
45
45 sin 89°
2cos 44° + 2sin 89°
none
if a + 1/(a-b) = 4;
then, (a-b)² + (1/(a-b))² = ?
a man rides at rate of 18km/hr, but stps for 6minutes to change at end of every 7th km. The time that he will take to cover a distance of 90 km?
rahul dravid sets his watch at 6:30 am on sunday, which gains 12 minutes in a day. On wednesday if his watch is showing 2:50 pm. What is the correct time?