" If "lambda in R" and "Delta=|[a,b],[c,d]|" then "lambda Delta=

If three points (0,\ 0),\ (3,\ sqrt(3)) and (3,\ lambda) form an equilateral triangle, then lambda= (a) 2 (b) -3 (c) -4 (d) None of these

A star is receding from earth with a velocity 3 xx 10^(6) m//s . If the actual wavelength of the light emitted by the star is lambda and Delta lambda is the displacement in wavelength as observed on earth then Delta lambda : lambda is -

If D, E are the midpoints of AB, AC of Delta ABC and vec(D)E = lambda vec(B)C then lambda =

Let a,b,c are sides and R is the circumradius of a triangle ABC such that R(b+c)=a sqrt(bc) if B+C=(lambda pi)/(mu),lambda,mu in N and are coprime then lambda+mu is

If three points (0,0),(3,sqrt(3)) and (3,lambda) form an equilateral triangle,then lambda=(a)2 (b) -3(c)-4(d) None of these

Let lambda in R . If the origin and the non-real roots of 2z^2+2z+lambda=0 form the three vertices of an equilateral triangle in the Argand plane, then lambda is (a.) 1 (b) 2/3 (c.) 2 (d.) -1

Let lambda in R . If the origin and the non-real roots of 2z^2+2z+lambda=0 form the three vertices of an equilateral triangle in the Argand plane, then lambda is (a.) 1 (b) 2/3 (c.) 2 (d.) -1

Let lambda in R . If the origin and the non-real roots of 2z^2+2z+lambda=0 form the three vertices of an equilateral triangle in the Argand plane, then lambda is (a.) 1 (b) 2/3 (c.) 2 (d.) -1

Assertion (A) : tan (alpha - beta) + tan (beta - lambda) + tan (lambda - alpha) = tan (alpha - beta) tan (beta - lambda) tan (lambda - alpha) Reason (R ) : In Delta ABC sum tan A = pi tan A