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JEE Advanced Level Test: Limit & Derivatives- 3 - Question 1

If α and β be the roots of ax^{2} + bx +c = 0 , then lim (1 + ax^{2 }+ bx + c)

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JEE Advanced Level Test: Limit & Derivatives- 3 - Question 2

If f(x) exist and is finite & non zero and if then the value of f(x) is

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JEE Advanced Level Test: Limit & Derivatives- 3 - Question 4

Let α and β be the distinct roots of ax^{2} + bx + c = 0, then is equal to

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JEE Advanced Level Test: Limit & Derivatives- 3 - Question 6

Let (tan α) x + (sin α) y = α and (α cosec α) x + (cos α) y = 1 be two variable straight lines, α being the parameter. Let P be the point of intersection of the lines. In the limiting position when α→ 0, the coordinates of P are

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JEE Advanced Level Test: Limit & Derivatives- 3 - Question 7

If A_{j} = j = 1, 2, ....n and a_{1} < a_{2} < a_{3} < ..... < a_{n} (A_{1} . A_{2}. ...A_{n}), 1 __<__ m __<__ n

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JEE Advanced Level Test: Limit & Derivatives- 3 - Question 8

Let a = min {x^{2} + 2x + 3, x ∈ R) & b = The value of a^{r} b^{n - r} is

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JEE Advanced Level Test: Limit & Derivatives- 3 - Question 9

If then the constants 'a' and 'b' are (where a > 0)

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