If , b are in AP, , b are in GP and , b re in HP, where a, b are positive, then the equation has its roots

Imaginary Explanation: Concept: If are in AP, than If are in GP than If are in HP than Calculation: assume a= 2, b= 8, n= 1 2,a are in AP, than 2,b are in GP, than 2,c are in HP, than Here, we have to find the nature of roots of the equation a - x+ = 0 By substituting n=1 in the equation a - x+ = 0 we get - x+ = 0 Ve know that, a and c OOO So, the discrimination for the equation a x is so the roots are imaginary

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NIMCET 2019 — Mathematics PYQ

NIMCET | Mathematics | 2019

If $a, a_{1}, a_{2}, a_{3}, ..., a_{2} n - 1$ , b are in AP, $a, b_{1}, b_{2}, ..., b_{2} n - 1$ , b are in GP and $a, c_{1}, c_{2}, c_{3}, ..., c_{2} n - 1$ , b re in HP, where a, b are positive, then the equation $aₙx² - bₙx + cₙ = 0$ has its roots

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