Home
Class 12
MATHS
If (lambda, 1+lambda) be lying inside th...

If `(lambda, 1+lambda)` be lying inside the circle `x^(2)+y^(2)=1`, then-

A

`lambda= - (1)/(2)`

B

`lambda lt 0 `

C

`- 1 lt lambda lt 0 `

D

`lambda gt 0 `

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2012)|18 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2013)|17 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBHS Archive (2015)|10 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos
  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( ASSERTION-REASON TYPE )|2 Videos

Similar Questions

Explore conceptually related problems

If the point (lambda,1+lambda) be lying inside the circle x^2+y^2 =1 then

The number of integral coordinates of the points (x, y) which are lying inside the circle x^(2) + y^(2) = 25 is n, then the integer value of (n)/(9) will be -

Knowledge Check

  • If the circle x^2+y^2+2a_1x+c=0 lies completely inside the circle x^2+y^2+2a_2x+c=0 then

    A
    `a_1a_2gt0`,`clt0`
    B
    `a_1a_2gt0`,`cgt0`
    C
    `a_1a_2lt0`,`clt0`
    D
    `a_1a_2lt0`,`cgt0`
  • Similar Questions

    Explore conceptually related problems

    The number of points P(x , y) lying inside or on the circle x^2+y^2=9 and satisfying the equation tan^4x+cot^4x+2=4sin^2y is______

    The line y=x+lambda is tangent to the ellipse 2x^(2)+3y^(2)=1 , then lambda is-

    Find the set of values of lambda , for which the point (sqrt(4-lambda^2),lambda) lies outside the triangle formed by the lines (y-3)^2=3x^2 and y+sqrt3=0

    Find the area lying above x-axis and included between the circle x^(2) + y^(2) = 8x and inside in the parabola y^(2) = 4x.

    if the distances from the origin to the centre of three circles x^2+y^2+2lambda_ix-c^2=0(i=1,2,3) are in G.P. ,then the lengths of the tangents drawn to them from any point on the circle x^2+y^2=c^2 are in

    Find the locus of image of the variable point (lambda^(2), 2 lambda) in the line mirror x-y+1=0, where lambda is a parameter.

    The value of lambda with |lambda| lt 16 such that 2x^(2) - 10xy +12y^(2) +5x +lambda y - 3 = 0 represents a pair of straight lines is