Home
Class 12
MATHS
Statement-1: Number of rectangles on a c...

Statement-1: Number of rectangles on a chessboard is `.^(8)C_(2)xx.^(8)C_(2)`.
Statement-2: To form a rectangle, we have to select any two of the horizontal lines and any two of the vertical lines.

A

Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1

B

Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1

C

Statement-1 is true, statement-2 is false

D

Statement-1 is false, statement-2 is true

Text Solution

Verified by Experts

The correct Answer is:
d
In a chessboard, there are 9 horizontal lines and 9 vertical lines.
`therefore`Number of rectangles of any size are `.^(9)C_(2)xx.^(9)C_(2)`.
Hence, statement-1 is fale and statement-2 is true.
Promotional Banner

Similar Questions

Explore conceptually related problems

If the angle between two lines is pi/4 and slope of one of the lines is 1/2 , find the slope of the other line.

Statement-1: the number of even divisors of the number N=12600 is 54. Statement-2: 0,2,4,6,8, . . . Are even integers.

The centroid of the triangle is (2,7) and two of its vertices are (4,8) and (-2,6) and third vertex is

Drive an expression for the distance between two parallel lines y = mx+ c_1 and y = mx+c_2

Statement-1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is empty is ""^(9)C_(3) . Statement-2: The number of ways of choosing any 3 places from 9 different places is ""^(9)C_(3) .

Statement-1: There are pge8 points in space no four of which are in the same with exception of q ge3 points which are in the same plane, then the number of planes each containing three points is .^(p)C_(3)-.^(q)C_(3) . Statement-2: 3 non-collinear points always determine unique plane.

Two point charges 5 xx 10^(-8) C and 3 xx 10^(-8) C are locate 16 m apart. At what points on the line joining the two charges is the electric potential zero ?

Two charges 5xx10^(-8)C and -3xx10^(-8)C are located 0.16 m apart. At what point(s) on the line joining the two charges is the electric potential zero?