Latest Infosys Aptitude Question SOLUTION: The right angled triangle PQR is to be constructed in the xy-plane, so that the right angle is at P and PR is parallel to the x-axis. The x and y coordinates of P,Q and R are to be

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The right angled triangle PQR is to be constructed in the xy-plane, so that the right angle is at P and PR is parallel to the x-axis. The x and y coordinates of P,Q and R are to be integers that satisfy the inequality −4≤x≤5 & 6≤y≤16. How many different triangles with these properties could be constructed?
A. 1,100 B. 12,100 C. 10,000 D. 9,900

Asked In Infosys taasha (7 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

Abhilipsa  (7 years ago)

We have the rectangle with dimensions 10*11 (10 horizontal dots and 11 vertical). PQ is parallel to y-axis and PR is parallel to x-axis.

Choose the (x,y) coordinates for vertex P (right angle): 10C1*11C1;
Choose the x coordinate for vertex R (as y coordinate is fixed by A): 9C1, (10-1=9 as 1 horizontal dot is already occupied by A);
Choose the y coordinate for vertex Q (as x coordinate is fixed by A): 10C1, (11-1=10 as 1 vertical dot is already occupied by A).

10C1*11C1*9C1*10C1=9900.

Answer: C.

Is this solution Helpfull? Yes (11) | No   

Zaid  (7 years ago)

Ans 9900

P can take a total of 10*11 co-ordinates(10 of x and 11 of y)

For a given P, R can take a total of 9 co-ordinates and Q can take a total of 10 co-ordinates.

Hence, total = 110*9*10 = 9900

Is this solution Helpfull? Yes (5) | No (4)  

deepak  (7 years ago)

-4 to 5 = 10
6 to 16 = 11
10 * 11 * 90 = 9900

Is this solution Helpfull? Yes (4) | No   

deepak  (7 years ago)

a
-4 to 5 is 10
6 to 16 is 11

Is this solution Helpfull? Yes (1) | No (1)  

Saikot Roy  (6 years ago)

P can take a total of 10*11 co-ordinates(10 of x and 11 of y)

For a given P, R can take a total of 9 co-ordinates and Q can take a total of 10 co-ordinates.

Hence, total = 110*9*10 = 9900

Is this solution Helpfull? Yes (1) | No   

N.swathi  (6 years ago)

my answer is 1100

Is this solution Helpfull? Yes | No (3)  

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