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If the eccentricity of an ellipse is `5/8` and the distance between its foci is 10, then find latus rectum of the ellipse.
Concept: undefined >> undefined
If the parabola y2 = 4ax passes through the point (3, 2), then the length of its latus rectum is ______.
Concept: undefined >> undefined
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The length of the latus rectum of the ellipse 3x2 + y2 = 12 is ______.
Concept: undefined >> undefined
Evaluate: `lim_(h -> 0) (sqrt(x + h) - sqrt(x))/h`
Concept: undefined >> undefined
Evaluate: `lim_(x -> 2) (x^2 - 4)/(sqrt(3x - 2) - sqrt(x + 2))`
Concept: undefined >> undefined
Which of the following statements are compound statements
“2 is both an even number and a prime number”
Concept: undefined >> undefined
Which of the following statements are compound statements
“9 is neither an even number nor a prime number”
Concept: undefined >> undefined
Which of the following statements are compound statements
“Ram and Rahim are friends”
Concept: undefined >> undefined
Identify the component statements and the connective in the following compound statements.
It is raining or the sun is shining.
Concept: undefined >> undefined
Identify the component statements and the connective in the following compound statements.
2 is a positive number or a negative number.
Concept: undefined >> undefined
Translate the following statements in symbolic form
2 and 3 are prime numbers
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Translate the following statements in symbolic form
Tigers are found in Gir forest or Rajaji national park.
Concept: undefined >> undefined
Write the truth value of the following statements.
(i) 9 is an even integer or 9 + 1 is even.
(ii) 2 + 4 = 6 or 2 + 4 = 7
(iii) Delhi is the capital of India and Islamabad is the capital of Pakistan.
(iv) Every rectangle is a square and every square is a rectangle
(v) The sun is a star or sun is a planet.
Concept: undefined >> undefined
Write negation of the statement
“Everyone who lives in India is an Indian”
Concept: undefined >> undefined
Write the negation of the following statements:
p: All triangles are equilateral triangles.
Concept: undefined >> undefined
Write the negation of the following statements:
q: 9 is a multiple of 4.
Concept: undefined >> undefined
Write the negation of the following statements:
r: A triangle has four sides.
Concept: undefined >> undefined
Write the negation of the following statements:
Suresh lives in Bhopal or he lives in Mumbai.
Concept: undefined >> undefined
Write the negation of the following statements:
x + y = y + x and 29 is a prime number.
Concept: undefined >> undefined
Rewrite the following statements in the form of conditional statements:
Mohan will be a good student if he studies hard.
Concept: undefined >> undefined
