Home
Class 12
MATHS
Find the values of alpha for which the p...

Find the values of `alpha` for which the point `(alpha-1,alpha+1)` lies in the larger segment of the circle `x^2+y^2-x-y-6=0` made by the chord whose equation is `x+y-2=0`

A

0

B

1

C

2

D

None of these

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOCK TEST 2

    KVPY PREVIOUS YEAR|Exercise EXERCISE|25 Videos

  • MOCK TEST 4

    KVPY PREVIOUS YEAR|Exercise EXERCISE|25 Videos

Similar Questions

Explore conceptually related problems

Find the value of alpha for which the point (alpha -1, alpha) lies inside the parabola y^(2) = 4x .

The value of alpha for Which the point (alpha,alpha+2) is an interior point of smaller segment of the curve x^(2)+y^(2)-4=0 made by the chord of the curve whose equation is 3x+4y+12=0

Knowledge Check

  • The range of 'alpha' for which the point (alpha, alpha) lies in minor arc bounded by the curves x^(2)+y^(2)=1 and x+y=1 is

    A
    `(1)/(2)lt alpha (1)/(sqrt(2))`
    B
    `-(1)/(sqrt(2)) lt alpha lt (1)/(sqrt(2))`
    C
    `alpha gt (1)/(2)`
    D
    `0 lt alpha lt (1)/(2)`

  • Set of value of alpha for which the point (alpha,1) lies inside the circle x^(2)+y^(2)-4=0 and parabola y^(2)=4x is

    A
    `|alpha|ltsqrt(3)`
    B
    `|alpha|lt2`
    C
    `(1)/(4)ltalphaltsqrt(3)`
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    The set of values of a for which the point (2a,a+1) is an interior point of the larger segment of the circle x^(2)+y^(2)-2x-2y-8=0 made by the chord x-y+1=0, is

    The value of alpha for which the point (alpha,alpha+2) is an interior point of smaller segment of the curve x^(2)+y^(2)-4^(2)=0 made by the chord of the curve whose equation is 3x+4y+12=0 is:

    Determine all the values of alpha for which the point (alpha,alpha^(2)) lies inside the triangle formed by the lines.2x+3y-1=0x+2y-3=05x-6y-1=0

    Find the values of alpha so that the point P(alpha^(2),alpha) lies inside or on the triangle formed by the lines x-5y+6=0,x-3+2=0 and x-2y-3=0

    Find the values of a for which the point (a,a) , a gt 0, lies outside the circle x ^(2) + y ^(2) - 2x + 6y -6=0

    Find the interval of alpha for which (alpha, alpha^2, alpha) and (3, 2, 1) lies on same side of x+y-4z+2=0 .

    Home
    Profile