Home
Class 9
MATHS
The sets of three numbers are called as ...

The sets of three numbers are called as Pythagorean triplets as they form the sides of a right angled triangle:
(a) 3,4,5 (b) 5,12,13 (c ) 7,24,25
Multiply each number in any of the above pythagorean triplet by a non-zero constant. Verify whether each of the resultant set so obtained is also a pythagorean triplet or not.

Text Solution

Verified by Experts

The correct Answer is:
25, 169, 625
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|5 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTION: )|5 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise EXERCISE - 6.5|10 Videos

  • STATISTICS

    FULL MARKS|Exercise Assignment (Answer the following question)|10 Videos

Similar Questions

Explore conceptually related problems

Three equal charges, each having a magnitude of. 2.0 xx 10 ^ (-6) C , are placed at the thre corners of a right. angled triangle of sides 3 cm, 4cm and 5 cm. find the force (in magnitude) on the charge at the right angled

Consider the numbers 1,2,3,4,5,6,7,8,9,10. If 1 is added to each number, the variance of the numbers so obtained is 6.5 (b) 2.87 (c) 3.87 (d) 2.87

A shelf contains 20 books of which 4 are single volume and the other form sets of 8, 5, and 3 volumes. Find the number of ways in which the books may be arranged on the shelf so that volumes of each set will not be separated. (ii)volumes of each set remain in their due order.

The number of distinct natural numbers up to a maximum of four digits and divisible by 5, which can be formed with the digits 0, 1 , 2, 3, 4, 5, 6, 7, 8, 9 each digit not occurring more than once in each number, is a. 1246 b. 952 c. 1106 d. none of these

Let T be the line passing through the points P(-2,\ 7) and Q(2,\ -5) . Let F_1 be the set of all pairs of circles (S_1,\ S_2) such that T is tangent to S_1 at P and tangent to S_2 at Q , and also such that S_1 and S_2 touch each other at a point, say, M . Let E_1 be the set representing the locus of M as the pair (S_1,\ S_2) varies in F_1 . Let the set of all straight lines segments joining a pair of distinct points of E_1 and passing through the point R(1,\ 1) be F_2 . Let E_2 be the set of the mid-points of the line segments in the set F_2 . Then, which of the following statement(s) is (are) TRUE? The point (-2,\ 7) lies in E_1 (b) The point (4/5,7/5) does NOT lie in E_2 (c) The point (1/2,\ 1) lies in E_2 (d) The point (0,3/2) does NOT lie in E_1

Match each of the set on the left in the roster form with the same set on the right described in set-builder form: (i) {1, 2, 3, 6} (a) {x : x is a prime number and a divisor of 6} (ii) {2, 3} (b) {x : x is an odd natural number less than 10} (iii) {M,A,T,H,E,I,C,S} (c) {x : x is natural number and divisor of 6} (iv) {1, 3, 5, 7, 9} (d) {x : x is a letter of the word MATHEMATICS}.

Write sample space 'S' and number of sample point n(S) for each of the following experiments Also write evets A,B, c in the set form and write n(A), n(B), n(C ). Two digit numbers are formed using digits 0,1, 2,3,4,5 without repetition of the digits. Condition for event A: The number formed is even Condition for event B: the number formed is divisible by 3. Condition for event C: The number formed is greater then 50.

Column I, Column II Four dice (six faced) are rolled. The number of possible out comes in which at least one dice shows 2 is, p. 210 Let A be the set of 4-digit number a_1a_2a_3a_4w h e r ea_1> a_2> a_3> a_4dot then n(A) is equal to, q. 750 The total number of three-digit numbers, the sum of whose digits is even, is equal to, r. 671 The number of four-digit numbers that can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 so that each number contains digit 1 is, s. 450