The least positive integral value of `lambda` for which two chords bisected by x-axis can be drawn to the circle `x^2 + y^2 - lambdaax-ay-a^2 (lambda^2 + 1) = 0`, from point `(a(lambda-1), a (lambda + 1)` is ..

The least integral value of lambda for which the expression (lambdax^(2)-4x+3lambda+1) is positive for all x in R,is

The maximum value of 5lambda for which four normals can be drawn to ellipse x^(2)/25+y^(2)/16=1 through a point ( lambda ,0) is

The line 4y - 3x + lambda =0 touches the circle x^2 + y^2 - 4x - 8y - 5 = 0 then lambda=

An infinite number of tangents can be drawn from (1,2) to the circle x^2+y^2-2x-4y+lambda=0 . Then find the value of lambda .

Find the range of values of lambda for which the point (lambda,-1) is exterior to both the parabolas y^2=|x|dot

Find the range of values of lambda for which the point (lambda,-1) is exterior to both the parabolas y^2=|x|dot

If x^n-1 is divisible by x-lambda, then the least prositive integral value of lambda is 1 b. 3 c. 4 d. 2

2x^2 +2y^2 +4 lambda x+lambda =0 represents a circle for

Let alpha and beta be the values of x obtained form the equation lambda^(2) (x^(2)-x) + 2lambdax +3 =0 and if lambda_(1),lambda_(2) be the two values of lambda for which alpha and beta are connected by the relation alpha/beta + beta/alpha = 4/3 . then find the value of (lambda_(1)^(2))/(lambda_(2)) + (lambda_(2)^(2))/(lambda_(1)) and (lambda_(1)^(2))/lambda_(2)^(2) + (lambda_(2)^(2))/(lambda_(1)^(2))

If y = mx + c be a tangent to the hyperbola x^2/lambda^2-y^2/(lambda^3+lambda^2+lambda)^2 = 1, (lambda!=0), then minimum value of 16m^2