﻿ If 1 lies between the roots of the equation 3x2 – 3 sin α x – 2 cos2 α = 0 then α lies in the interval : Kaysons Education

# If 1 Lies Between The Roots Of The Equation 3x2 – 3 Sin α x – 2 Cos2 α = 0 Then α Lies In The Interval

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## Question

### Solution

Correct option is

If ab are the roots, then

∴ α lies between  excluding  assin α is not equal to 1.

#### SIMILAR QUESTIONS

Q1

Let α, β be the roots of x2 – x + p = 0 and γ, δ be the roots of x2 – 4x + = 0. If α, β, γ, δ are in G.P., then the integral values of p and qrespectively, are

Q2

Let P, Q, R be defined as

P = a2b + ab2 – a2c – ac2,

Q = b2c + bc2 – a2b – ac2

R = a2c + c2a – c2b – cb2

Where abc are all + ive and the equation Px2 + Qx + R = 0 has equal roots then abc are in

Q3

Let α and β are the roots of equation x2 + x + 1 = 0. The equation whose roots are α19, β7 is

Q4

If x2 + x + 1 is a factor ax3 + bx2 + cx + d, then the real root of ax3 + bx2cx + d = 0 is

Q5

If one root of the equation (a2 – 5a + 3)x2 + (3a – 1)x + 2 = 0 be double the other, then the value of α is:

Q6

For the equation 3x2 + px + 3 = 0, p > 0, if one of the roots is square of the other, then p is equal to

Q7

If the roots of the equation x2 – 2ax + a2 + a – 3 = 0 are real and less than 3, then

Q8

If b > a, then the equation (x – a) (x – b) – 1 = 0, has

Q9

If α and β (α < β), are the roots of the equation x2 + bx + c = 0, where c < 0 < b, then

Q10

Let α,β be the roots of the equation x2 – px + r = 0 and  2β be the roots of the equation x2 – qx + r = 0. Then the value of r is