The direction ratios of two parallel lines are `4, -3, -1` and `lambda+mu,1+mu,2`. The value of the pair `(lambda,mu)` is

If the direction ratios of two lines are (1, lambda, 2) and (lambda, lambda + 1, lambda) and the angle between the lines is 90^(@) then the modulus of sum of all values of lambda is ________

Two vertices of a triangle are (5,-1) and (-2,3) .The orthocenter of the triangle is the origin. If the third vertex is (lambda,mu) then the value of 7 lambda-4 mu is

The mid-point of the chord intercepted on the line 4x-3y+4=0 by the parabola y^2=8x" is "(lambda,mu) , thus the value of (4lambda+mu) is

If the direction ratios of a line are 1+lambda, 2-lambda, 4 and if it makes an angle of 60^(@) with the y- axis, then the sum of the values of lambda is

If tan((x)/(2))=(lambda)/(mu), then the value of lambda sin x+mu cos x is

If x(sgn x)(sgn x)+|x|(sgnx)^(3)=lambda x^(mu), then the value of lambda+mu is:

Find the vector equation of the following planes in non parametric form: -> r=(lambda-2mu) hat i+(3-mu) hat j+(2lambda+mu) hat k

If lambda and mu are the co factors of 3 and -2 respectively in the determinant |[1,0,-2] , [3,-1,2] , [4,5,6]| then the value of lambda+mu=

A curve y=f(x) passes through (1,1) and tangent at P(x,y) on it cuts x- axis and y-axis at A and B respectively such that BP:AP=3:1 then the differential equation of such a curve is lambda xy'+mu y=0 where ( mu + lambda -lambda^(2) ) / (mu - 2 lambda) is . Where mu and lambda are relatively prime natural