Let both root of equation ax^2 - 2bx + 5...

Let both root of equation `ax^2 - 2bx + 5 = 0` are `α` and root of equation `x^2 - 2bx - 10 = 0` are `α` and `β` . Find the value of `α^2` + `β^ 2`

A

24

B

25

C

26

D

28

Text Solution

Verified by Experts

The correct Answer is:

B

Topper's Solved these Questions

JEE (Main) 2020 QUESTION PAPER (8TH JAN-AFTERNOON)
MCGROW HILL PUBLICATION|Exercise Multiple Choice Questions|25 Videos
JEE (Main) 2020 QUESTIONS WITH SOLUTION B.ARCH (6TH JAN-AFTERNOON
MCGROW HILL PUBLICATION|Exercise Multiple Choice Questions|25 Videos

Similar Questions

Explore conceptually related problems

Let both root of equation ax^2 - 2bx + 5 = 0 are alpha and root of equation x^2 - 2bx - 10 = 0 are alpha and beta . Find the value of alpha^2 + beta^ 2

If both the roots of the equation ax^(2) + bx + c = 0 are zero, then

If the roots of the equation ax^(2) + bx + c = 0 are in the ratio of 3 : 4 ,

If the roots of the equation ax^(2)+bx+c=0 are equal then c=?

If the roots of the equation ax^(2)+bx+c=0 are in the ratio m:n then

If a root of the equation ax^(2)+bx+c=0 be reciprocal of a root of the equation a'x^(2)+b'x+c'=0 then

If the roots of the equaton 2x^(2)-3x+5=0 are reciprocals of the roots of the equation ax^(2)+bx+2=0 then :

If the roots of the equation ax^(2)+bx+c=0 are real and distinct,then

MCGROW HILL PUBLICATION-JEE (MAIN) 2020 QUESTIONS ( 9TH JAN-AFTERNOON) -JEE (Main) 2020 Questions with Solutions Mathematics (9th Jan - Afternoon)

Let f and g be differentiable functions on R such that fog is the iden...
Text Solution
|
In the expansion of ((x)/(costheta)+(1)/(xsintheta)), if l(1) is the l...
Text Solution
|
Let both root of equation ax^2 - 2bx + 5 = 0 are α and root of equatio...
Text Solution
|
Let a function f:[0,5] to R be continuous, f(1)=3 and F be defined as ...
Text Solution
|
Let [t] denote the greatest integer le t and lim(xto0)x[4/x]=A. Then t...
Text Solution
|
If f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]| and a - 2b + c =...
Text Solution
|
Given : f(x){(x",",0lexlt1/2),(1/2",",x=1/2),(1-x",",1/2ltxle1):} and ...
Text Solution
|
If 7x + 6y - 2z = 0, 3x + 4y + 2z = 0, x - 2y - 6z = 0 then which opti...
Text Solution
|
If p rarr (p wedge ~ q) is false. Truth value of p & q will be
Text Solution
|
The length of the minor axis (along the y-axis) of an ellipse in the s...
Text Solution
|
z is a complex number such that |Re(z)| + |Im (z)| = 4 then |z| can't ...
Text Solution
|
If x underset(n=0)overset(oo)Sigma (-1)^n " tan "^(2n) " and " y = un...
Text Solution
|
If (dx)/dy = (xy)/(x^2 + y^2), y(1) = 1 and y(x) = e then x =
Text Solution
|
Let one end of focal chord of parabola y^2 = 8x is (1/2, -2), then equ...
Text Solution
|
Let an is a positive term of a GP and sum(n=1)^100 a(2n + 1)= 200, sum...
Text Solution
|
Let probability distribution is [[xi,:,1, 2, 3, 4, 5], [pi,:,k^2, 2k, ...
Text Solution
|
int((d(theta))/((cos^2 theta)(sec(2theta) + tan(2theta)))) = lambda t...
Text Solution
|
Let veca,vecb and vecc be three vectors such that |veca |=sqrt(3),|v...
Text Solution
|
If C(r)=""^(25)C(r) and C(0)+5*C(1)+9*C(2)+ . . .+(101)*C(25)=225*k, t...
Text Solution
|
If the curves x^2-6x+y^2+8=0 and x^2-8y+y^2+16 -k =0 , (k gt 0) touch...
Text Solution
|