If the quadratic equation `a x^2+b x+c=0(a >0)` has `sec^2thetaa n dcos e c^2theta` as its roots, then which of the following must hold good? (a.) `b+c=0` (b.) `b^2-4a cgeq0` (c.) c `ccgeq4a` (d.) `4a+bgeq0`

If the quadratic equation a x^2+b x+c=0(a >0) has sec^2thetaa n dcos e c^2theta as its roots, then which of the following must hold good? b+c=0 b. b^2-4a cgeq0 c. ccgeq4a d. 4a+bgeq0

If the quadratic equation ax^(2)+bx+c=0(a>0) has sec ^(2) thetaand cos ec^(2)theta as its roots,then which of the following must hold good? a.b+c=0 b.b^(2)-4ac>=0 c.>=4a d.4a+b>=0

If a,b,c in R and the quadratic equation x^(2)+(a+b)x+c=0 has no real roots then

If quadratic equation ax^2+bx+c=0 does not have real roots, then which of the following may be false (a) a(a-b+c) gt 0 (b) c(a- b+c)>0 e) b(a- b+c) gt 0 (d) a +b+c) (a-b+c)gt0

If the quadratic equations, a x^2+2c x+b=0 and a x^2+2b x+c=0(b!=c) have a common root, then a+4b+4c is equal to:

If the quadratic equations, a x^2+2c x+b=0 and a x^2+2b x+c=0(b!=c) have a common root, then a+4b+4c is equal to:

If the equation a x^2+b x+c=0(a >0) has two real roots alphaa n dbeta such that alphalt-2 and betagt2, then which of the following statements is/are true? (a) a-|b|+c<0 (b) clt0,b^2-4a cgt0 (c) 4a-2|b|+c<0 (d) 9a-3|b|+c<0

If the equation a x^2+b x+c=0(a >0) has two real roots alphaa n dbeta such that alphalt-2 and betagt2, then which of the following statements is/are true? (a) a-|b|+c<0 (b) clt0,b^2-4a cgt0 (c) 4a-2|b|+c<0 (d) 9a-3|b|+c<0

If the quadratic equations ax^(2)+2bx+c=0 and ax^(2)+2cx+b=0, (b ne c) have a common root, then show that a+4b+4c=0

If quadratic equation ax^(2)+bx+c=0 does not have real roots,then which of the following may be false (a) a(a-b+c)>0 (b) c(a-b+c)>0 e) b(a-b+c)>0 (d) a+b+c)(a-b+c)>0