The quadratic equation whose roots are t...

The quadratic equation whose roots are three times the roots of `3ax^2 + 3bx +c = 0` is:

`ax^2+ 3bx + 3c = 0`

`ax^2+3bx+c= 0`

`9ax^2+9bx+c= 0`

`ax^2+bx+3c= 0`

Text Solution

Verified by Experts

Topper's Solved these Questions

LINEAR INEQUATIONS
MODERN PUBLICATION|Exercise EXERCISE|289 Videos
LIMITS AND DERIVATIVES
MODERN PUBLICATION|Exercise EXERCISE|334 Videos
MATHEMATICAL INDUCTION
MODERN PUBLICATION|Exercise EXERCISE|85 Videos

Similar Questions

Explore conceptually related problems

Determine whether the given quadratic equation have real roots and if so,find the roots x^2 + x + 2 = 0

If the equation whose roots are the squares of the roots of the cubic x^3-a x^2+b x-1=0 is identical with the given cubic equation, then

Statement -1 If the equation (4p-3)x^(2)+(4q-3)x+r=0 is satisfied by x=a,x=b nad x=c (where a,b,c are distinct) then p=q=3/4 and r=0 Statement -2 If the quadratic equation ax^(2)+bx+c=0 has three distinct roots, then a, b and c are must be zero.

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them :- 3x^2-6x+5 = 0 .

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is a. x^(2)+alpha x- beta=0 b. x^(2)-[(alpha +beta)+alpha beta]x-alpha beta( alpha+beta)=0 c. x^(2)+[(alpha + beta)+alpha beta]x+alpha beta(alpha + beta)=0 d. x^(2)+[(alpha +beta)+alpha beta)]x -alpha beta(alpha +beta)=0

If a=cos(2pi//7)+isin(2pi//7) , then find the quadratic equation whose roots are alpha=a+a^2+a^4 and beta=a^3+a^5+a^6 .

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them :- 3x^2-4sqrt3x+4=0 .

If alpha,beta are roots of x^2-px+q=0 then find the quadratic equation whose roots are ((alpha^2-beta^2)(alpha^3-beta^3)) and alpha^2beta^3+alpha^3beta^2

If ABCD is a convex quadrilateral such that 4 sec A+5 =0 then the quadratic equation whose roots are tan A and cosec A is

MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE

If alpha, beta are the roots of x^2-a(x-1)+b=0, then the value of 1/(a...
Text Solution
|
The sum of all real roots of the equation |x-2|^(2)+|x-2|-2=0 is
Text Solution
|
The quadratic equation whose roots are three times the roots of 3ax^2 ...
Text Solution
|
If a, b, c are real, then both the roots of the equation : (x- b) (x-c...
Text Solution
|
If x satisfies the inequations 2x- 7 < 11, 3x+4< -5, then x lies in th...
Text Solution
|
The set of all real x satisfying the inequality (3-|x|)/(4-|x|) ge0 is...
Text Solution
|
If the area of the triangle formed by the points z, z+iz and iz is 50 ...
Text Solution
|
The locus of z such that : arg [(1 - 2i)z-2+ 5i] = pi/4 is a:
Text Solution
|
If z= sqrt3+i, then the argument of z^2 e^(z-i) is equal to :
Text Solution
|
If omega ne 1 and omega^3=1, then : (a omega+b+c omega^2)/(a omega^2+...
Text Solution
|
The centre of a regular hexagon is at the point z = i. If one of its v...
Text Solution
|
If the roots of the equation 1/(x+p)+1/(x+q)=1/r, (x ne -p, x ne -q, r...
Text Solution
|
The solution of the equation : (3+2 sqrt2)^(x^2-8)+ (3+2 sqrt2)^(8-x^2...
Text Solution
|
If 2 - i is a root of the equation ax^2+ 12x + b=0 (where a and b are ...
Text Solution
|
If one root of the equation lx^2+mx+n=0 is 9/2 (l, m and n are positiv...
Text Solution
|
If x^2+ 4ax +2 >0 for all values of x, then a lies in the interval:
Text Solution
|
If x+iy= sqrt(((a+ib))/((c+id))), then x^2+y^2 equals :
Text Solution
|
The solution of the equation |z|-z=1+2i is :
Text Solution
|
If alpha and beta are the roots of x^2+x+1=0, then alpha^16 + beta^16 ...
Text Solution
|
The complex number (1+2i)/(1-i) lies in:
Text Solution
|