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Write the area of the triangle with vertices at (a, b + c), (b, c + a) and (c, a + b).
Concept: undefined >> undefined
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x is an odd natural number}
Concept: undefined >> undefined
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Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x is a positive multiple of 3}
Concept: undefined >> undefined
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x is a prime number}
Concept: undefined >> undefined
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x is a natural number divisible by 3 and 5}
Concept: undefined >> undefined
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x is a perfect square}
Concept: undefined >> undefined
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x is perfect cube}
Concept: undefined >> undefined
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x + 5 = 8}
Concept: undefined >> undefined
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : 2x + 5 = 9}
Concept: undefined >> undefined
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x ≥ 7}
Concept: undefined >> undefined
Taking the set of natural numbers as the universal set, write down the complements of the following set:
{x : x ∈ N and 2x + 1 > 10}
Concept: undefined >> undefined
If the latus rectum of an ellipse is equal to half of minor axis, then find its eccentricity.
Concept: undefined >> undefined
Given the ellipse with equation 9x2 + 25y2 = 225, find the eccentricity and foci.
Concept: undefined >> undefined
(3x + 5)(1 + tan x)
Concept: undefined >> undefined
(sec x – 1)(sec x + 1)
Concept: undefined >> undefined
If X and Y are two sets such that n(X) = 17, n(Y) = 23 and n(X ∪ Y) = 38, find n(X ∩Y).
Concept: undefined >> undefined
If X and Y are two sets such that X ∪Y has 18 elements, X has 8 elements and Y has 15 elements; how many elements does X ∩Y have?
Concept: undefined >> undefined
In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?
Concept: undefined >> undefined
If S and T Are Two Sets Such that S Has 21 Elements, T Has 32 Elements, and S ∩ T Has 11 Elements, How Many Elements Does S ∪ T Have?
Concept: undefined >> undefined
If X and Y are two sets such that X has 40 elements, X ∪Y has 60 elements and X ∩Y has 10 elements, how many elements does Y have?
Concept: undefined >> undefined
