The set off all values of m for which bo...

The set off all values of `m` for which both the roots of the equation `x^2-(m+1)x+m+4=0` are real and negative is `(-oo,-3]uu[5,oo)` (b) `[-3,5]` (c) `(-4,-3]` (d) `(-3,-1]`

`-3 lt m le -1`

`-4 lt m le -3`

`-3 le m le 5 `

`-3 ge m or m ge 5`

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

The set of all values of m for which both the roots of the equation x^2-(m+1)x+m+4=0 are real and negative is (a) (-oo,-3]uu[5,oo) (b) [-3,5] (c) (-4,-3] (d) (-3,-1]

If both roots of the equation x^2-(m+1)x+(m+4)=0 are negative then m equals

For what value of m, are the roots of the equation (3m+1) x^(2)+(11+m)x+9=0 equal ? Real and unequal ?

The set of all values of a for which both roots of equation x^2-2ax+a^2-1=0 lies between -2 and 4 is (A) (-1,2) (B) (1,3) (C) (-1,3) (D) none of these

The integral value of m for which the quadratic equation (2m-3)x^2-4x+2m-3=0 has both the roots negative is given by

Find the value of m for which the equation (m+4)x^(2)+(m+1)x+1=0 has real and equal roots.

All the values of m for whilch both the roots of the equation x^2-2m x+m^2-1=0 are greater than -2 but less than 4 lie in the interval -2 3 c. -1

Consider the quadratic equation x^2-mx+1=0 with two roots alpha and beta such that alpha + beta =m and alpha beta =1 The value of m for which both the roots of the equation are greater then unity re (A) [2,oo] (B) ]--oo,2] (C) [-2,2] (D) none of these

Find all the value of m for which the equation sin^2x-(m-3)sinx+m=0 has real roots.

The number of integral values of m for which the equation (1+m^(2)) x^(2) - 2(1+3m)x+(1+8m) = 0 , has no real roots is

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

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
|
If the roots of a1x^(2)+b1x+c1=0 and alpha1 , beta1 and those of a2...
Text Solution
|
If b^2>4ac, then a(x^2 +4x+4)^2+b(x^2 +4x +4)+c=0 has distinct real ...
Text Solution
|