If alpha,beta are roots of x^2-3x+a=0,a ...

If `alpha,beta` are roots of `x^2-3x+a=0,a in Ra n dalpha<1

`a in (-oo, 2)`

`a in (-oo, 9//4]`

`a in (2, 9//4]`

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

QUADRATIC EXPRESSIONS AND EQUATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|138 Videos
PROBABILITY
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos
SEQUENCES AND SERIES
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta are roots of x^2-3x+a=0 , a in R and alpha <1< beta then find the value of a.

If alpha, beta are the roots of x^(2) - 3x + a = 0 , a in R and lt 1 lt beta, then find the values of a

If alpha, beta are the roots of x^(2)-px+q=0 then (alpha+beta)x-(alpha^(2)+beta^(2))(x^(2))/(2)+(alpha^(3)+beta^(3))(x^(3))/(3)-….oo=

If alpha , beta ,1 are roots of x^3 -2x^2 -5x +6=0 ( alpha gt 1) then 3 alpha + beta=

if alpha , beta be roots of x^2-3x+a=0 and gamma , delta are roots of x^2-12x+b=0 and alpha,beta,gamma,delta (in order) form a increasing GP then find the value of a & b

If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' are the roots of x^(2) - p' x + q' = 0 , then the value of (alpha - alpha')^(2) + (beta + alpha')^(2) + (alpha - beta')^(2) + (beta - beta')^(2) is

If alpha, beta are the roots of x^(2) + x + 3=0 then 5alpha+alpha^(4)+ alpha^(3)+ 3alpha^(2)+ 5beta+3=

If alpha , beta are the roots of x^2 +x+1=0 then alpha beta + beta alpha =

If alpha,beta are the roots of x^2+p x+q=0a n dgamma,delta are the roots of x^2+r x+s=0, evaluate (alpha-gamma)(alpha-delta)(beta-gamma)(beta-delta) in terms of p ,q ,r ,a n dsdot Deduce the condition that the equation has a common root.

If alpha. beta are the roots of x^2 +bx+c=0 and alpha + h, beta + h are the roots of x^2 + qx +r=0 then 2h=

OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Chapter Test

The equation (a + 2)x^2 + (a-3)x = 2a - 1, a != -2 has roots rational ...
Text Solution
|
If cos alpha, sin beta, sin alpha are in increasing G.P. , then roots ...
Text Solution
|
If alpha,beta are roots of x^2-3x+a=0,a in Ra n dalpha<1<beta, then f...
Text Solution
|
If the equations ax^2+bx+c=0 and cx^2+bx+a=0, a!=c have a negative com...
Text Solution
|
If the roots of the equation x^3-12x^2 +39x -28 =0 are in AP, then the...
Text Solution
|
If the roots of a1x^2 + b1x+ c1 = 0 are alpha1 ,beta 1 and those o...
Text Solution
|
If the roots of the equation ax^(2)-4x+a^(2)=0 are imaginery and the s...
Text Solution
|
If a, b, c are positive real numbers, then the roots of the equation a...
Text Solution
|
If the absolute value of the difference of the roots of the equation x...
Text Solution
|
If alpha, beta be roots of the equation 375x ^(2) -25x-2=0 and s (n) =...
Text Solution
|
The quadratic equation x^(2) + (a^(2) - 2) x - 2a^(2) and x^(2) - 3x +...
Text Solution
|
The roots of ax^(2) +bx +c =0 " whose " a ne 0, b ,c in R , " are non...
Text Solution
|
The value of m for which the equation x^3-mx^2+3x-2=0 has two roots ...
Text Solution
|
If the equation formed by decreasing each root of the a x^2+b x+c=0 by...
Text Solution
|
If the roots of the equation ax^2-bx-c=0 are changed by same quantity ...
Text Solution
|
If x^2-2rprx+r=0; r=1, 2,3 are three quadratic equations of which each...
Text Solution
|
If x ^(2) + px +1 is a factor of ax ^(3) + bx +c, then:
Text Solution
|
If (x-1)^3 is a factor of x^4+ax^3+bx^2+cx-1=0 then the other factor ...
Text Solution
|
If alpha is a root of the equation x^2+2x-1=0, then prove that 4alpha^...
Text Solution
|
If one root of the quadratic equation (a-b)x^2+ax+1=0 is double the ot...
Text Solution
|