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A circle touches the side BC of a triangle ABC at P and touches AB and AC when produced at Q and R. Show that AQ= 1/2 (perimeter of triangle ABC) Ans: Since the length o
A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i
Define a complete lattice and give one example. Ans: A lattice (L, ≤) is said to be a complete lattice if, and only if every non-empty subset S of L has a greatest lower bound
a triangle with side lengths in the ratio 3:4:5 is inscribed in a circle of radius 3.what is the area of the triangle.
Describe about Arithmetic and Geometric Series? When the terms of a sequence are added together instead of separated by commas, the sequence becomes a series. You will use seri
The sum of the diameters of two circles is 2.8 m and their difference of circumferences is 0.88m. Find the radii of the two circles (Ans: 77, 63) Ans: d 1 + d 2 = 2.8 m=
Properties of Dot Product u → • (v → + w → ) = u → • v → + u → • w → (cv → ) • w → = v → •(cw → ) = c (v → •w → ) v → • w → = w → • v →
Concrete Operational Stage : Piaget describes a five-year-old boy playing with a collection of pebbles. First, he laid them in a line and counted along the line from left to righ
Expand (1- 1/2x -x^2)^9
solve a trader purchases coffee at the rate of Rs. 350 per kg and mixes it with chicory bought at the rate of Rs.750 per kg in the ratio 5:2.If he sells the mixture at the rate of
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