Please answer these questions .a,b,c and d are the options . Please show me how to do the sums step by step . I will mark your answer BRAINLIEST.
Answers
6.
To Find:
- A quadratic equation whose roots are 3 and -3
Solution:
We know that,
A general quadratic is of the form of
So, Here
Sum of Zeroes= 3+(-3)= 3-3= 0
Product of Zeroes= 3×(-3)= -9
Now,
Required quadratic equation is
✏ x²-(0)x+(-9)= 0
✏ x²-9= 0
Correct answer is option (a)
7. Correct Question:
Roots of is
To Find:
Roots of
Solution:
We know that,
Discriminant of the quadratic equation of the form ax²+bx+c=0 is
Now, given quadratic equation is
Now, discriminant of given quadratic equation is
Also, we know that
Roots of Quadratic equation is
The correct answer is option (a)
8.
Given:
An equation kx(x-2)+6=0 having equal roots
To Find:
- Value of k
Solution:
We know that, condition for a quadratic equation of the form ax²+bx+c=0 to have equal roots is
Now, the given equation is
kx(x-2)+6= 0
kx²-2kx+6= 0
It is given that above equation has equal roots
So,
Hence, the value of k are 0 and 6.
9.
To Find:
- A quadratic equation whose roots are and
Solution:
We know that,
A general quadratic is of the form of
So, Here
Now,
Required quadratic equation is
✏ x²-(4)x+(-1)= 0
✏ x² -4x-1= 0
Correct answer is option (a)
10.
Given:
A quadratic equation 3x²+5x-7=0 whose roots are α and β.
To Find:
- Value of αβ
Solution:
We know that,
For a quadratic equation
So, here
From above two equations,
Hence, the correct option is (b).
Step-by-step explanation: