A rod of fixed length `k` slides along the coordinates axes, If it meets the axes at `A(a ,0)a n dB(0,b)` , then the minimum value of `(a+1/a)^2+(b+1/b)^2` `0` `8` `k^2=4+4/(k^2)` `k^2+4+4/(k^2)`

A rod of fixed length k slides along the coordinates axes,If it meets the axes at A(a,0) and B(0,b), then the minimum value of (a+(1)/(a))^(2)+(b+(1)/(b))^(2)(a)0(b)8 (c) k^(2)+4+(4)/(k^(2))(d)k^(2)+4+(4)/(k^(2))

A straight line passes through a fixed point (n,k),n,k>0 and intersects the coordinate axes at P(a,0) and Q(0,b), Show that the minimum value of (a+b) is (sqrt(n)+sqrt(k))^(2)

If the points (2, -3), (k , -1)and (0, 4) are collinear, then the value of k is :

If A=[[2,4-1,k]] and A^(2)=0, then find the value of k.

If x^2/b^2+y^2/(4a^2)=1 and minimum area with coordinate axes of tangent is Kab . then the value of K is

If the line (x-y+1)+k(y-2x+4)=0 makes equal intercept on the axes then the value of k is

If the point p(k,0) , divides the line segment joining the points A(2,-2) and B(-7,4) in the ratio 1:2 ,then the value of k is

If one root of (k-5)x^(2)-2kx+(k-4)=0 is less than 1 and the other root is greater than 2 then k in (a,b) then the value of a^(2)-b is.

If the line 3x-4y-k=0 touches the circle x^(2)+y^(2)-4x-8y-5=0 at (a,b), then the positive integral value of (k+a+b)/(5)=

The coordinates of the vertices of ABC are A(4,1),B(-3,2) and C(0,k). Given that the area of ABC is 12 unit,find the value of k