If the function k is defined by `k(h)=(h+1)^(2)`, then `k(k-2)=`

For all real numbers x, let the function g be defined by g(x)=p(x-h)^(2)+k , wher p, h and k are constants with p, k gt0 . Which of the following CANNOT be true?

The accompanying figure shows the graphs of functions f and g. If f is defined by f(x)=x^(2) and g is defined by g(x)=f(x+h)+k, where h and k are constants, what is the value of h+k?

If (k+(1)/(k))^(2)=16 , then k^(2)+(1)/(k^(2))=

If the probability function of a random variable X is defined by P(X=k) = a((k+1)/(2^k)) for k= 0,1,2,3,4,5 then the probability that X takes a prime value is

If the probability function of a random variable X is defined by P(X=k) = a((k+1)/(2^k)) for k= 0,1,2,3,4,5 then the probability that X takes a prime value is

If the probability function of a random variable X is defined by P(X=k)=a((k+1)/(2^(k))) for k=0,1,2,3,4,5, then the probability that X takes a prime value is

The co-ordinates of the foot of the perpendicular drawn fromthe origin upon a line are (h,k); show that the equation of the line is hx+ky=h^(2)+k^(2),(h^(2)+k^(2)0)

The coordinates of the foot of the perpendicular drawn from the origin upon a line are (h,k) , show that the equation of the line is hx+ky=h^(2)+k^(2)(h^(2)+k^(2)ne0) .

Let f(x) be an decreasing function defined on (0,oo) . If f(3a^2-4a+1)gtf(2a^2+a+1) and the range of a is (o,K/3)uu(K,K+4) , find K

The vertices of a triangle are (1,2),(h-3) and (-4,k) . If the centroid of the triangle is at the point (5,-1) then find value of sqrt((h+k)^(2) + (h+3k)^(2))