Home
Class 12
MATHS
Statement -1 In the equation ax^(2)+3x+5...

Statement -1 In the equation `ax^(2)+3x+5=0`, if one root is reciprocal of the other, then `a` is equal to 5.
Statement -2 Product of the roots is 1.

A

Statement -1 is true, Statement -2 is true, Statement -2 is a correct explanation for Statement-1

B

Statement -1 is true, Statement -2 is true, Statement -2 is not a correct explanation for Statement -1

C

Statement -1 is true, Statement -2 is false

D

Statement -1 is false, Statement -2 is true

Text Solution

Verified by Experts

The correct Answer is:
A
Let `alpha` be one root of equation `ax^(2)+3X+5=0`. Therefore
`alpha . 1/(alpha+ =5/a`
`implies 1=5/a`
`rarra=5`
Hence both the statement are true and Statement -2 is the correct explanation of Statement -1.
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|24 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise MATCH TYPE|2 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 8 : (Questions Asked in Previous 13 years Exams)|1 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

Similar Questions

Explore conceptually related problems

If one root of the equation 6x^2 − 2 x + ( λ − 5 ) = 0 be the reciprocal of the other, then λ =

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

If for all real values of a one root of the equation x^2-3ax + f(a)=0 is double of the other, then f(x) is equal to

If one root of the equation x^(2)-ix-(1+i)=0,(i=sqrt(-1)) is 1+i , find the other root.

If 2 - i is a root of the equation ax^2+ 12x + b=0 (where a and b are real), then the value of ab is equal to :

One root of the quadratic equation x^(2)-12x+a=0 is thrice the other. Find the value of a?

If the equation x^(2)-px+q=0 and x^(2)-ax+b=0 have a comon root and the other root of the second equation is the reciprocal of the other root of the first, then prove that (q-b)^(2)=bq(p-a)^(2) .

The roots of the equation 12 x^2 + x - 1 = 0 is :

Real roots of the equation x^(2/3)+x^(1/3)-2=0 are: