﻿ Let S denote the set of all real value of q for which the roots of the equation                           x2 – 2ax + a2 – 1 = 0          ...(1) lie between 5 and 10, then S equals : Kaysons Education

# Let S denote The Set Of All Real Value Of q for Which The Roots Of The Equation                           x2 – 2ax + a2 – 1 = 0          ...(1) Lie Between 5 And 10, Then S equals

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## Question

### Solution

Correct option is

(6, 9)

We can write (1) as

(x – a)2 = 1 ⇒ x = a ± 1

Now, 5 < a ± 1 < 10

⇒       4 < a < 9, 6 < a < 11

#### SIMILAR QUESTIONS

Q1

In a triangle PQRR = π/4. If tan (P/3) and tan (Q/3) are the roots of the equation ax 2 + bx + c = 0, then

Q2

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then the equation

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Q5

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is

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Q10

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