Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

If y R x R, y= x^2+m x+1 x^2-x+1 [-3,2] , then find the number of integral values of m

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We have -3 x^2+m x+1 x^2-x+1 2 x R aligned & So, x^2+m x+1 2 x^2-2 x+2 & x^2-(m+2)^2 x+1 0 x R & (m+2)^2-4 0 aligned m(m+4) 0 .....(1) aligned & Again -3 x^2+m x+1 x^2-x+1 & -3 x^2+3 x-3 x^2+m x+1 & 4 x^2+(m-3) x+4 0 x R & (m-3)^2-64 0 aligned (m-11)(m+5) 0 .....(2) array ll & (1) (2) m [-4,0] & number of integers =5 array

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