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Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

Let a and b be distinct real numbers such that b is a root of the equation x^2+a x+10=0 and a is the root of the equation x^2+b x+10=0 , then which of the following is(are) incorrect?

Options

  1. Aa-b=0
  2. Ba+b=0
  3. Ca+b=2
  4. DNo such a and b exists

Correct answer

C. a+b=2

Step-by-step solution

aligned & a^2+a b+10=0 & b^2+a b+10=0 aligned (a^2-b^2 )=0(a-b)(a+b)=0a b a+b=0 But, a(a+b)=-10 no such a and b exists. (d)

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