Write the smallest 7-digit number using four different digits.

The line joining the points (2, 1) and (5, -8) is trisected at the points P and Q. If point P lies on the line 2x – y + k = 0. Find the value of k.

How to find the value of sin 37° and 24°

During a sale, the shop offered a discount of 10 % on the market prices of all the items. What would a customer have to pay for a pair of jeans marked at Rs. 1450 and two shirts marked at Rs. 850 each?

If the three terms [a,b,c] are in A.P., then prove that the terms [a^2(b + c), b^2(c + a), c^2(a + b)] are also in A.P.

A pole has to be erected at a point on the boundary of a circular park of diameter 17 meters in such a way that the differences of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 meters. Is it possible to do so? If yes, at what distances from the two gates should the pole be erected?