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[" If "p>q>0" and "pr<-1<qr" ,then "],[t...

[" If "p>q>0" and "pr<-1

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Show that if p,q,r and s are real numbers and pr=2(q+s) , then atleast one of the equations x^(2)+px+q=0 and x^(2)+rx+s=0 has real roots.

Show that if p,q,r and s are real numbers and pr=2(q+s) , then atleast one of the equations x^(2)+px+q=0 and x^(2)=rx+s=0 has real roots.

Show that if p,q,r and s are real numbers and pr=2(q+s) , then atleast one of the equations x^(2)+px+q=0 and x^(2)+rx+s=0 has real roots.

Show that if p,q,r and s are real numbers and pr=2(q+s) , then atleast one of the equations x^(2)+px+q=0 and x^(2)+rx+s=0 has real roots.

Show that if p,q,r and s are real numbers and pr=2(q+s) , then atleast one of the equations x^(2)+px+q=0 and x^(2)+rx+s=0 has real roots.

If p = 4, q= 3 and r = -2, find the values of : (p^(2)+q^(2)-r^(2))/(pq+qr-pr)

If the equation x^2+px+qr=0 and x^2+qx+pr=0(p!=q,r!=0) has same root then prove that p+q+r=0

If the pth,qth,and rth terms of an A.P.are in G.P.then the common ratio of the G.P.is a.(pr)/(q^(2)) b.(r)/(p) c.(q+r)/(p+q) d.(q-r)/(p-q)

if p,q,r be real then the interval in which f(x) =|underset(pr" "qr" "x+r^(2))underset(pq" "x+q^(2)" "qr)(x+p^(2)" "pq" "pr)|,