If be the sides of and equations and have a common root

MATHEMATICS · Single correct · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

If a,b,ca, b, c be the sides of △ABC\triangle ABC and equations ax2+bx+c=0ax^2 + bx + c = 0 and 5x2+12x+13=05x^2 + 12x + 13 = 0 have a common root, then ∠C\angle C is : (a) 60∘60^\circ (b) 90∘90^\circ (c) 120∘120^\circ (d) 45∘45^\circ

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