If bot the roots of lamda(6x^(2)+3)rx+2x...

If bot the roots of `lamda(6x^(2)+3)rx+2x^(2)-1=0` and `6 lamda(2x^(2)+1)+px+4x^(2)-2=0` are common, then `2r-p` is equal to

`(1)/(2) `

`1`

None of these

Text Solution

Verified by Experts

The correct Answer is:

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

p, q, r and s are integers. If the A.M. of the roots of x^(2) - px + q^(2) = 0 and G.M. of the roots of x^(2) - rx + s^(2) = 0 are equal, then

If x^(2)-6x+5=0 and x^(2)-3ax+35=0 have common root, then find a.

If alpha,beta are the roots of the equation lamda(x^(2)-x)+x+5=0 and if lamda_(1) and lamda_(2) are two values of lamda obtained from (alpha)/(beta)+(beta)/(alpha)=4 , then (lamda_(1))/(lamda_(2)^(2))+(lamda_(2))/(lamda_(1)^(2)) equals.

If sin theta, cos theta are the roots of 6x^(2)-px+1=0 , then p^(2) =

If the equadratic equation 4x ^(2) -2x -m =0 and 4p (q-r) x ^(2) -2p (r-p) x+r (p-q)-=0 have a common root such that second equation has equal roots then the vlaue of m will be :

If alpha, beta are the roots fo the equation lamda(x^(2)-x)+x+5=0 . If lamda_(1) and lamda_(2) are two values of lamda for which the roots alpha, beta are related by (alpha)/(beta)+(beta)/(alpha)=4/5 find the value of (lamda_(1))/(lamda_(2))+(lamda_(2))/(lamda_(1))

If the equations x^(3)+5x^(2)+px+q=0 and x^(3)+7x^(2)+px+r=0 (a,q,r in R) have exactly two roots common,then p:q:r is

IF the equations x^(3) + 5x^(2) + px + q = 0 and x^(3) + 7x^(2) + px + r = 0 have two roots in common, then the product of two non-common roots of two equations, is

If p,q are roots of the quadratic equation x^(2)-10rx -11s =0 and r,s are roots of x^(2)-10px -11q=0 then find the value of p+q +r+s.

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

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