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Home > Complex Numbers And Quadratic Equations

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Complex Numbers And Quadratic Equations

Question
CBSEENMA11015639
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If x is so small that x3 and higher powers of x may be neglected, then fraction numerator left parenthesis 1 plus straight x right parenthesis to the power of 3 divided by 2 end exponent space minus open parentheses 1 plus begin display style 1 half end style straight x close parentheses cubed over denominator left parenthesis 1 minus straight x right parenthesis to the power of 1 divided by 2 end exponent end fraction spacemay be approximated as

  • 1 minus 3 over 8 straight x squared
  • 3 x 6 plus 3 over 8 straight x squared
  • negative 3 over 8 straight x squared
  • straight x over 2 minus 3 over 8 straight x squared

Solution
Multi-choise Question

C.

negative 3 over 8 straight x squared WiredFaculty

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Some More Questions From Complex Numbers and Quadratic Equations Chapter

The value of α for which the sum of the squares of the roots of the equation x2 – (a – 2)x – a – 1 = 0 assume the least value is

If roots of the equation x2 – bx + c = 0 be two consectutive integers, then b2 – 4c equals

If z1 and z2 are two non-zero complex numbers such that |z1 + z2| = |z1| + |z2| then argz1 – argz2 is equal to

If the equation anxn +an-1xn-1 +....... +a1x =0, a1 ≠ 0, n≥2, has a positive root x =  α, then the equation nanxn-1 + (n-1)an-1xn-2 +......+a1 = 0 has a positive root, which is

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