Question

If a and Bare the zeros of the polynomial f(x) = x2 + px +q, form a polynomia
zeros are (a + b)2 and (a - B)?.
If a and B are the zeros of the quadratic polynomial f(x) = x2 – 2x + 3
a-1 B-1
polynomial whose roots are (i) a + 2, 3 + 2 (i)
a +1'B+1
If a and Bare the zeros of the quadratic polynomial f(x) = ax? + bx + C, then
(1) a-ß
(15) 11 ( 1 + 1 - 2aß
a ß
(iv) a B+ aß?
(v) a* +34
1
1
aa+b
aß+​

Answer 1

Answer:

In △ABC AB=AC

⇒∠B=∠C (Angles opposite to equal sides are equal)

Now using angle sum property

∠A+∠B+∠C=180

∘

⇒80

∘

+∠C+∠C=180

∘

⇒2∠C=180

∘

−80

∘

⇒∠C=

2

100

∘

=50

∘

now ∠C+∠x=180

∘

(Angles made on straight line (AC) are supplementary)

⇒50

∘

+∠x=180

∘

⇒∠x=180

∘

−50

∘

=130

∘

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