Find the values of p for which both the ...

Find the values of p for which both the roots of the equation `4x^2 - 20px + (25p^2 + 15p - 66) = 0` are less than 2.

`((4)/(5) ,2)`

`(-1,(-4)/5)`

`(2,oo)`

`(-oo,1)`

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

Find the value of p for which the roots of the equation p x(x-2)+6=0, are equal.

Find the value of p for which the roots of the equation px (x-2) + 6 = 0, are equal.

Find all values of p for which the roots of the equation (p-3)x^2-2px+5p=0 are real and positive

The value of p for which the difference between the roots of the equation x^(2) + px + 8 = 0 is 2, are

If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then

The set of values of p for which the roots of the equation 3x^(2)+2x+p(p-1)=0 are of opposite signs is :

If the range of the values of a for which the roots of the equation x ^(2) -2x - a ^(2) +1=0 lie between the roots of the equation x ^(2) -2 (a+1)x +a(a -1) =0 is (p,q), then find the value of (q- (1)/(p)).

Find the values of m for which roots of equation x^(2)-mx+1=0 are less than unity.

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

The quadratic equation ((x+b)(x+c))/((b-a)(c-a))+((x+c)(x+a))/((c-b)(...
Text Solution
|
If both roots of the equation x^2+x+a=0 exceeds 'a' then
Text Solution
|
Find the values of p for which both the roots of the equation 4x^2 - 2...
Text Solution
|
If roots of x^2-(a-3)x+a=0 are such that at least one of them is great...
Text Solution
|
The set off all values of m for which both the roots of the equation x...
Text Solution
|
The equation x^(2) + ax + b^(2) = 0 has two roots each of which exceed...
Text Solution
|
The real values of 'a' for which the quadratic equation 2x^2 - (a^3 + ...
Text Solution
|
if both root of equation x^2-6ax+2-2a+9a^2 = 0 exceeds 3 . then show t...
Text Solution
|
If b gt a, then the equation (x-a)(x-b)-1=0 has (a) Both roots in (a...
Text Solution
|
which of the following graph represents the expression f(x) = ax^2 + b...
Text Solution
|
If alpha, beta are the roots of the equation (x-a)(x-b)=c,c!=0. Find t...
Text Solution
|
Let alpha ,beta " be the roots of " ax^(2) +bx + c= 0, gamma, detla ...
Text Solution
|
If b1. b2=2(c1+c2) then at least one of the equation x^2+b1x+c1=0 and ...
Text Solution
|
If alpha , beta are roots of ax^(3) +bx +c=0 then the equation ax^...
Text Solution
|
If a gt 1 , then the roots of the equation (1-a)x^(2)+3ax-1=0 are
Text Solution
|
The polynomiaal (a x^2+b x+c)(a x^2-dx-c), a c!=0 has
Text Solution
|
If the equation ax^(2)+2bx-3c=0 has no real roots and ((3c)/(4))lta+b,...
Text Solution
|
If a(p+q)^2+2b p q+c=0 and a(p+r)^2+2b p r+c=0 (a!=0) , then which one...
Text Solution
|
If alpha and beta(alpha lt beta) are the roots of the equation x^(2)+b...
Text Solution
|
The number of real solutions of the equation (9//10)^x=-3+x-x^2 is
Text Solution
|