alpha,beta are the roots of ax^(2)+2bx+c...

`alpha,beta` are the roots of `ax^(2)+2bx+c=0 and alpha+delta,beta+delta` are the roots of `A x^(2)+2Bx+C=0`, then what is `(b^(2)-ac)//(B^(2)-AC)` equal to ?

A

a/A

B

A/a

C

`(a/A)^(2)`

D

`(A/a)^(2)`

Text Solution

Verified by Experts

The correct Answer is:

C

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

QUADRATIC EQUATIONS & INEQUATIONS
VMC MODULES ENGLISH|Exercise Numerical value type of JEE Main|15 Videos
QUADRATIC EQUATIONS & INEQUATIONS
VMC MODULES ENGLISH|Exercise JEE Main ( Archive )|20 Videos
QUADRATIC EQUATIONS & INEQUATIONS
VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos
PROPERTIES OF TRIANGLE
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos
QUIZ
VMC MODULES ENGLISH|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

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 h =

If alpha, beta are the roots of ax^(2) + bx + c = 0 and alpha + h, beta + h are the roots of px^(2) + qx + r = 0 , then h =

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=

If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and alpha +h, beta + h are the roots of the equation Ax^(2) +2Bx + C=0 then

If alpha , beta are the roots of ax ^2 + bx +c=0 then alpha ^5 beta ^8 + alpha^8 beta ^5=

If alpha,beta are the roots of a x^2+b x+c=0,(a!=0) and alpha+delta,beta+delta are the roots of A x^2+B x+C=0,(A!=0) for some constant delta then prove that (b^2-4a c)/(a^2)=(B^2-4A C)/(A^2)

If alpha , beta are the roots of ax^2+bx +c=0 then (1+ alpha + alpha ^2)(1+ beta + beta ^2) is

If alpha, beta are the roots of ax^(2)+bx+c=0 , alpha beta=3 and a, b, c are in A.P., then alpha+beta =

If alpha, beta are the roots of x^(2) + bx-c = 0 , then the equation whose roots are b and c is

If alpha , beta are the roots of ax^2+bx +c=0 then (a alpha + b)^(-2)+( a beta + b)^(-2) =

VMC MODULES ENGLISH-QUADRATIC EQUATIONS & INEQUATIONS -LEVEL -2

alpha,beta are the roots of ax^(2)+2bx+c=0 and alpha+delta,beta+delta ...
05:00
|
If bot the roots of lamda(6x^(2)+3)rx+2x^(2)-1=0 and 6 lamda(2x^(2)+1)...
04:16
|
If the quadratic equation 3x^(2) + ax+1=0 and 2x^(2) + bx+1=0 have a ...
05:03
|
If a ,b ,p ,q are non zero real numbers, then how many comman roots wo...
02:52
|
Find the value of a for which function f(x) = (ax^(2) + 3x - 4)/(3x - ...
11:04
|
If for all real x (x+a)/(x^2+b x+c^2) cannot lie between two limits, ...
06:44
|
If f(x)=(ax^2+x-2)/(a+x-2x^2) has the range R when x in R then
05:25
|
Let f(x)=(mx^2+3x+4)/(x^(2)+3x+4) , m in R . If f(x) lt 5 for all x i...
04:50
|
Which of the following function x has range R :
10:14
|
If a and b(!=0) are the roots of the equation x^2+ax+b=0 then the leas...
03:00
|
The number of roots of the equation 2^(x)+2^(x-1)+2^(x-2)=7^(x)+7^(...
03:17
|
The solution set of the equation "log"(x)2 xx "log"(2x)2 = "log"(4x...
04:46
|
Solve : |(x^(2)-5x+4)/(x^(2) - 4)| le 1
07:33
|
If x in R , the least value of the expression (x^(2)-6x+5)/(x^(2)+2...
03:51
|
Find the range of f(x)=(x^(2)+x+1)/(x^(2)+x-1)
04:07
|
If alpha, beta are the roots fo the equation lamda(x^(2)-x)+x+55=0. If...
06:11
|
If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...
02:13
|
For (|x-1|)/(x+2) lt 1 , solution set of x is given by :
05:47
|
The number of pairs (a,b) for which a(x+1)^2+b(x^(2)-3x-2)+x+1=0 AA x ...
06:44
|
The quadratic equation ((x+b)(x+c))/((b-a)(c-a))+((x+c)(x+a))/((c-b)(...
05:40
|