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ABCD is a rectangle. Δ ADE and Δ ABF are two triangles such that ∠E=∠F as shown in the figure. Prove that AD x AF=AE x AB. Ans: Consider Δ ADE and Δ ABF ∠D = ∠B
Describe the Types of triangles ? Triangles can be classified according to the lengths of the sides or the measures of the angles. 1. Naming triangles by sides An
Derivative with Polar Coordinates dy/dx = (dr/dθ (sin θ) + r cos θ) / (dr/dθ (cosθ) - r sinθ) Note: Rather than trying to keep in mind this formula it would possibly be easi
Prove that, the complement of each element in a Boolean algebra B is unique. Ans: Proof: Let I and 0 are the unit and zero elements of B correspondingly. Suppose b and c b
1
Frequency Distribution or Variance Ratio Distribution This was developed by R. A Fisher in 1924 and is normally defined in terms of the ratio of the variances of two usually d
Given the hypotenuse of a right triangle: Given that the hypotenuse of a right triangle is 18" and the length of one side is 11", what is the length of another side? a 2 +
Two stations due south of a leaning tower which leans towards the north are at distances a and b from its foot. If α , β be the elevations of the top of the tower from these
What is a set? Explain various methods to represent a set in set theory. Define the following with the help of suitable examples. (i) Singleton Set
Can two lines contain a given point
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