Straight Lines ...

Find the area of the triangle whose vertices are $$(-5, -1), (3, -5), (5, 2)$$

Ten students of the physics department decided to go on a educational trip.They hired a mini bus for the trip, but the bus can only carry eight students at a time and each student goes at least once. Find the minimum number of trips the bus has to make so that each students can go for equal number of trips.

Number of rectangles in the grid shown which are not squares is?

Number of ways in which $$7$$ green bottles and $$8$$ blue bottles can be arranged in a row if exactly $$1$$ pair of green bottles is side by side is (Assume all bottles to be a like except for the colour).

The sides AB, BC, CA of a triangle ABC have $$3,4$$ and $$5$$ interior points respectively on them. The number of triangles that can be constructed using these points as vertices is-

If the letters of the word "VARUN" are written in all possible ways and then are arranged as in a dictionary, then the rank of the word VARUN is?

If the vertices of a triangle are $$(1,2),(4,-6)$$ and $$(3,5)$$, then its area is

The unit's place digit in $$(1446)^{4n + 3}$$ is

From 0 to 9 , four digited numbers can be formed such that
the digits  are in ascending order is

The last three digits in $$10!$$ are ?