Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation
Paragraph: Graph of f( x )= ax ^2+ bx + c is shown adjacently, for which ( AB )=2, ( AC )=3 and b ^2-4 ac =-4 On the basis of above informations, answer the following questions : Question: Range of g(x)= (a+ 1 2 ) x^2+(b+2) x- (c- 1 2 ) when x [-4,0] is -
Options
- A[-10,-6]
- B[- 49 4 ,-10 ]
- C[- 49 4 ,-6 ]
- D[- 49 4 , )
Correct answer
C. [- 49 4 ,-6 ]
Step-by-step solution
aligned & g(x)=x^2+5 x-6=(x+6)(x-1) & g(-4)=-10 & g(0)=-6 aligned g(x)_ =- 49 4 at x=- 5 2 Range of g(x) is [- 49 4 ,-6 ]