If the difference between the roots of...

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)`

Topper's Solved these Questions

JEE MAIN
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
LIMITS AND DERIVATIVES
JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

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

Find the value of x^(2) for the following values of x: (a) [-5,-1] " (b) "(3,6) " (c ) "(-2,3] (d) (-3,oo) " (e ) "(-oo,4)

If a point (a,2) lies between the lines x-y-1=0 and 2(x-y)-5=0 , then the set of values of a is (A) (-oo,3)uu(9/2,oo) (B) (3,9/2) (C) (-oo,3) (D) (9/2,oo)

If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real roots which are distinct, then the set of possible real values of a is ((-13)/2,0) (b) (oo,-(13)/2) ((-13)/2,(13)/2) (d) ((13)/2,oo)

If the root of the equation (a-1)(x^2-x+1)^2=(a+1)(x^4+x^2+1) are real and distinct, then the value of a in a. (-oo,3] b. (-oo,-2)uu(2,oo) c. [-2,2] d. [-3,oo)

The domain of the function f(x)=1/(sqrt(|x|-x)) is: (1) (-oo,oo) (2) (0,oo (3) (-oo,""0) (4) (-oo,oo)"-"{0}

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

Let f(x) be a quadratic expression such that f(-1)+f(2)=0 . If one root of f(x)=0 is 3 , then the other root of f(x)=0 lies in (A) (-oo,-3) (B) (-3,oo) (C) (0,5) (D) (5,oo)

Find the values of 1/x for the following values fo x: (a) (2,5) " (b) "[-5,-1) " (c ) "(3,oo) (d) (-oo,-2] " (e ) "[-3,4]

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions

Consider three boxes, each containing 10 balls labelled 1, 2, …,10. Su...
Text Solution
|
A dice is thrown repeatedly till two successive 4\'s are obtained then...
Text Solution
|
If the difference between the roots of the equation x^2+""a x""+""1"...
Text Solution
|
The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...
Text Solution
|
((p^^q)vv(pvv~q))^^(~p^^~q)) is equivalent to (A) ~p^^~q ...
Text Solution
|
A particle just clears a wall of height b at distance a and strikes...
Text Solution
|
The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...
Text Solution
|
The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...
Text Solution
|
The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...
Text Solution
|
If hati+hatj+muhatk, muhati+hatj+hatk, hati+muhatj+hatk are coplanar v...
Text Solution
|
In the expansion of (2^(1/3) +1/(2(3)^(1/3)))^10 then the ratio of 5th...
Text Solution
|
The area bounded by the region between curves y=x^2 +2, x=0, x=3, y=x+...
Text Solution
|
Let y(x) is the solution of differential equation x(dy)/(dx)+y=x logex...
Text Solution
|
f(x)=min(sinx, cosx),x in (-pi,pi) the values of x where f(x) is non d...
Text Solution
|
A(9,6), B(4,-4) lie on the parabola such that area of /\ABC is maximum...
Text Solution
|
If two circles with cenre (1,1) and radius 1 and circle with centre (9...
Text Solution
|
Find minimum and maximum value of 3cosx+5sin(x-pi/6)
Text Solution
|
For xgt1, " if " (2x)^(2y)=4e^(2x-2y)", then " (1+loge2x)^2(dy)//(dx) ...
Text Solution
|
Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q(ij)] and Q=P^5+I3 then (q21+...
Text Solution
|
Let (z-alpha)/(z+alpha) is purely imaginary and |z|=2, alpha in RR the...
Text Solution
|