The range of a for which the equation x^...

The range of `a` for which the equation `x^2+x-4=0` has its smaller root in the interval `(-1,2)i s` `(-oo,-3)` b. `(0,3)` c. `(0,oo)` d. `(-oo,-3)uu(0,oo)`

A

`(-oo,-3)`

B

(0,3)

C

`(0,oo)`

D

`(-oo,-3)cup(0,oo)`

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

NTA JEE MOCK TEST 25
NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
NTA JEE MOCK TEST 28
NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The range of a for which the equation x^(2)+ax-4=0 has its smaller root in the interval (-1,2)is(-oo,-3) b.(0,3) c.(0,oo) d.(-oo,-3)uu(0,oo)

[ Suppose a in R .The set of values of a for which the quadratic equation x^(2)-2(a+1)x+a^(2)-4a+3=0 has two negative roots is [ (a) (-oo,-1), (b) (1,3) (c) (-oo,1)uu(3,oo), (d) phi]]

The real values of lambda for which the equation,4x^(3)+3x^(2)-6x+lambda=0 has two distinct real roots in [0,1] lie in the interval (A)(0,oo)(B)(3,oo)(C)(-5,(7)/(4))(D)[0,(7)/(4))

If the equation x^(3)-12x+a=0 has exactly one real root,then range of a is equal to (-oo,-16)uu(16,oo)( b) {-16,16}(-16,16)(d)(-oo,-16)uu[16,oo)

The set of all values of a for which both roots of equation x^2-ax+1=0 are less than unity is (A) (-oo,-2) (B) (-2,oo) (C) (-2,3) (D) (-oo,-1)

If the difference between the roots of the equation x^2+""a x""+""1""=""0 is less than sqrt(5) , then the set of possible values of a is (1) (-3,""3) (2) (-3,oo) (3) (3,oo) (4) (-oo,-3)

The function f(x)=cot^(-1)x+x increases in the interval (a)(1,oo)(b)(-1,oo)(c)(-oo,oo)(d)(0,oo)

The function f(x)=(1)/(1+x^(2)) is decreasing in the interval (i)(-oo,-1)(ii)(-oo,0)(iii)(1,oo)(iv)(0,oo)

The values of a for which the integral int_(0)^(2)|x-a|dx>=1 is satisfied are (a) (2,oo) (b) (-oo,0)(c)(0,2)(d) none of these

If the point (2,k) lies outside the circles x^(2)+y^(2)+x-2y-14=0andx^(2)+y^(2)=13 then k lies in the interval (-3,-2)uu(3,4)(b)(-3,4) (c) (-oo,-3)uu(4,oo)(d)(-oo-2)uu(3,oo)

NTA MOCK TESTS-NTA JEE MOCK TEST 27-MATHEMATICS

Let Z is be the set of integers , if A={"x"inZ:|x-3|^((x^2-5x+6))=1} a...
Text Solution
|
If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of ...
Text Solution
|
If two points P & Q on the hyperbola ,x^2/a^2-y^2/b^2=1 whose centre i...
Text Solution
|
If the standard deviation of 0,1,2,3...9 is K, then the standard devia...
Text Solution
|
The value of x for which sin(cot^-1(1+x))=cos (tan^-1x) is
Text Solution
|
If 2^(a1),2^(a2),2^(a3).......2^(ar) are in geometric progression , th...
Text Solution
|
The solution of the equation |z|-z=1+2i is
Text Solution
|
The unbiased dice is tossed until a number greater than 4 appear. W...
Text Solution
|
The range of a for which the equation x^2+x-4=0 has its smaller root i...
Text Solution
|
If volume of parallelopiped whose there coterminous edges are vec u = ...
Text Solution
|
If 5a + 4b + 20 c = t then the value of t for which the line ax+by+c-...
Text Solution
|
The solution of the differential equation sin(x+y)dy =dx is
Text Solution
|
If f(x)=[x]^({x}) +{x}^([x]) + sin (pix) , Where [.] and {.} represen...
Text Solution
|
An aeroplane flying horizontally , 1km above the ground , is observed...
Text Solution
|
The sum to infinity of the series 1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))...
Text Solution
|
The value of lim(xto1^(+))(int(1)^(x)|t-1|dt)/(sin(x-1)) is
Text Solution
|
If f(x)=cos^-1(sin(4cos^2x-1)), then 1/pif'(pi/3).f(pi/10) is
Text Solution
|
If f(x)=min{|x-1|,|x|,|x+1|, then the value of int-1^1 f(x)dx is equal...
Text Solution
|
If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...
Text Solution
|
Let y = x^3 - 6x^2 + 9x + 1 be an equation of a curve, then the x-inte...
Text Solution
|