Home
Class 11
MATHS
The equation (cosP-1)x^(2)+(cosP)x+sinP=...

The equation `(cosP-1)x^(2)+(cosP)x+sinP=0` where x is a variable has real roots. Then the interval of may be of the following :

A

`(0,2,pi)`

B

`(-pi,0)`

C

`(-(pi)/(2),(pi)/(2))`

D

`(0,pi)`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise INVERSE TRIGONOMETRIC FUNCTIONS|28 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise HYPERBOLIC FUNCTIONS|10 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PERIOICITY, EXTREME VALUES AND GRAPHS|14 Videos

  • REAL FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-1|34 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

Similar Questions

Explore conceptually related problems

Let alpha ne 1 be a real root of the equation x^(3) - ax^(2) + ax - 1 = 0, where a ne - 1 is a real number, then a root of this equation, among the following , is :

If the equation x^(4) + 4x^(3) - 2x^(2) - 12 x + k = 0 has 4 real roots, then find set of values of k.

Knowledge Check

  • If the equation (cos p - 1)x^(2) + cos p x + sin p =0 in the varable x has real roots then p can taken any value in the interval

    A
    `(0, 2pi)`
    B
    `(-pi, 0)`
    C
    `(-pi//2, pi//2)`
    D
    `(0, pi)`

  • Let alpha !=1 be a real root of the equation x^(3)-ax^(2)+ax-1=0 , where a != -1 is a real number. Then, a root of this equation, among the following, is

    A
    `alpha^(2)`
    B
    `- 1/alpha`
    C
    `1/alpha`
    D
    `- 1/alpha^(2)`

  • If alpha,beta are the roots of the quadratic equation x^2-(a-2)x-(a+1)=0 , where a is a variable, then the least value of alpha^2+beta^2 is

    A
    3
    B
    5
    C
    7
    D
    none

    • Similar Questions

    Explore conceptually related problems

    To the equation 2^(2pi//cos^(-1)x)-(a+1/2)2^(pi//cos^(-1)x)-a^(2)=0 has only real root, then

    3x^(2) + (-kx) + 8 = 0 has real roots if …

    If alpha, beta are the roots of x^(2)-(a-2)x-(a+1)=0 where 'a' is a variable then the minimum value of alpha^(2)+beta^(2) is

    If alpha , beta are the roots of x^2 -(a-2) x- (a +1) =0 where a is a variable then the least value of alpha ^2 + beta ^2 is

    If the equation x^(2) - kx + 1 = 0 has equal roots. Then

    Home
    Profile