Straight Lines ...

The points $$A (2, 9), B (a, 5)$$ and $$C (5, 5) $$ are the vertices of a triangle $$ABC$$ right angled at $$B$$. Find the values of  $$a$$ and hence the area of $$\Delta $$ $$ABC$$.

Area of the triangle formed by the points P(-1.5, 3), Q(6, -2) and R(-3, 4) is 0.

Given:   $$\dfrac {20!}{18!}=380$$

In a class of 80 students it is found that 40 students like Tajmahal and 50 students like Charminar and 18 like both. Then the number of students who do not like neither are.

In the following questions, the numbers are arranged in a particular order or pattern. Choose the missing number from the given alternatives.3, 9, 17, 27, _ , 

In a combination, the ordering of the selected objects is immaterial whereas in a permutation, the ordering is essential.

Out of nine cells of a square, one cell is left blank and in the rest of the cells, numbers are written follow some rule. Get the rule and find out the proper option for the blank cell 

There are $$6$$ boxes numbered $$1, 2 ....... 6$$. Each box is to be filled up either with a red or a green ball in such a way that at least $$1$$ box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:

Identify the progression: