Home
Class 10
MATHS
If the zeroes of the polynomial x^(2)- 2...

If the zeroes of the polynomial `x^(2)- 2kx +2` are equal in magnitude but opposite in sign, then the vaue of k is

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 10 (SELF-ASSESSMENT)

    EDUCART PUBLICATION|Exercise Section -B|20 Videos
  • SAMPLE PAPER 10 (SELF-ASSESSMENT)

    EDUCART PUBLICATION|Exercise Section-C (Case Study Based Questions)|10 Videos
  • SAMPLE PAPER 10

    EDUCART PUBLICATION|Exercise SECTION-C|10 Videos
  • SAMPLE PAPER 10 SOLVED

    EDUCART PUBLICATION|Exercise PART - B (SECTION - V) |4 Videos

Similar Questions

Explore conceptually related problems

Assertion (A): Both zeroes of the quadratic polynomial x^(2)-2kx+2 are equal in magnitude but opposite in sign then value of k is 1/2 . Reason(R):Sum of zeroes of a quadratic polynomial ax^(2)+bx+c is (-b)/a

If both the zeros of the quadratic polynomial ax^2 + bx + c are equal and opposite in sign, then find the value of b.

If roots of ax^(2)+bx+c=0 are equal in magnitude but opposite in sign,then

If two roots of the equation x^(3)-px^(2)+qx-r=0 are equal in magnitude but opposite in sign,then:

If one of the zeros of the quadratic polynomial f(x) = 4x^2 - 8kx - 9 is equal in magnitude but opposite in sign of the other, find the value of k.

If the roots of the equation (a)/(x+a+k)+(b)/(x+b+k)=2 are equal in magnitude but opposite in sign, then the value of k is

If two roots of x ^(3) -ax ^(2) + bx -c =0 are equal in magnitude but opposite in sign. Then:

Find the zeros of the polynomial f(x)=x^(3)-5x^(2)-16x+80, if its two zeros are equal in magnitude but opposite in sign.

Knowledge Check

  • Assertion (A): Both zeroes of the quadratic polynomial x^(2)-2kx+2 are equal in magnitude but opposite in sign then value of k is 1/2 . Reason(R):Sum of zeroes of a quadratic polynomial ax^(2)+bx+c is (-b)/a

    A
    Both A and R are true and R is the correct explanation for a
    B
    Both A and R are true and R is not correct explanation for A.
    C
    A is true but R is false.
    D
    A is false but R is true
  • If the roots of the equation a/(x+a+k)+b/(x+b+k)=1 are equal in magnitude but opposite in sign then the value of k is

    A
    0
    B
    1
    C
    2
    D
    none of these
  • If the roots of the equation (a)/(x+a+k)+(b)/(x+b+k)=2 are equal in magnitude but opposite in sign, then the value of k is

    A
    `-(a+b)/(4)`
    B
    `(a+b)/(4)`
    C
    `(a+b)/(2)`
    D
    0