Home
Class 14
MATHS
The minimum value of (x-2) (x-9) is (A)-...

The minimum value of (x-2) (x-9) is (A)`-frac(11)(4)` (B) 49/4 (C) 0 (D) `-frac(49)(4)

A

`- 11/4`

B

`49/4`

C

0

D

`- 49/4`

Text Solution

Verified by Experts

The correct Answer is:
D
`(x-2)(x-9)`
`=x^2-2x-9x+18 " " [ax^2+bx+c " न्यूनतम मान " =(4ac-b^2)/(4a) , a gt 0]`
`=x^2-11x+18`
`:. " minm value " = (4xx1xx18-(-11)^2)/(4xx1) =(72-121)/4 =(-49)/4`
Promotional Banner

Similar Questions

Explore conceptually related problems

(frac(3)(4))^(0)= ?

Minimum value of f(x)=2x^(2)-4x+5 is 1 (b) -1(c)11 (d) 3

It is given that, y = frac(1)(x^3 -x) , If x =2, , then the value of y is (A) 6 (B) frac(1)(6) (C) frac(1)(4) (D) frac(1)(8)

The value of frac(2frac(1)(3) xx 4frac(1)(4) -4frac(1)(6) + 6 frac(1)(4)) (3frac(1)(3) + 4frac(1)(4) xx 5frac(2)(3)) is (A) 21frac(1)(160) (B) 2frac(13)(160 (C ) 2frac(21)(160) (D) frac(7)(1000)

Find the value of 3 frac(1)(4) div 5frac(1)(2)(1-frac(1)(4))

If sectheta=frac(5)(4) , then frac(tantheta)(1+tan^2theta) is equal to (A) frac(9)(25) (B) frac(12)(25) (C) frac(3)(4) (D) frac(1)(25)

HCF of frac(2)(3), frac(4)(5), and frac(6)(7) is (A) frac(48)(105) (B) frac(2)(105) (C ) frac(1)(105) (D) frac(24)(105)

Which one among the following is the largest? (A) frac(7)(9) (B) frac(11)(14) (C ) frac(3)(4) (D) frac(10)(13)

What is the reciprocal of the sum of the reciprocals of frac(3) (5) and frac(7)(3) ? (A) frac(4)(5) (B) frac(36)(35) (C ) frac(21)(44) (D) frac(1)(4)

If X^2+4x+3=0 , then the value of (X^3)/(X^6+27x^3+27 is (A) -1 (B) -frac(1)(2) (C) 1 (D) 1/2