Advertisements
Advertisements
प्रश्न
If the product of the roots of the equation `x^2-3x+k=10` is-2 then the value of k is
(a) -2 (b) -8 (c) 8 (d) 12
उत्तर
(c) 8
It is given that the product of the roots of the equation `x^2-3x+k=10 is -2` . The equation can be rewritten as:
`x^2-3x+(k-10)=0`
Product of the roots of a quadratic equation = `c/a`
⇒` c/a=-2`
⇒ `((k-10))/1=-2`
⇒` k=8`
APPEARS IN
संबंधित प्रश्न
The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor.
The sum of the roots of the equation` x^2-6x+2=0`
(a) 2 (b)-2 (c)6 (d)-6
If the sum of the roots of a quadratic equation is 6 and their product is 6, the equation is
(a)`x^2-6x+6=0` (b)` x^2+6x+6=0` (c)`x^2-6x-6=0` (d)`x^2+6x+6=0`
If the roots of the quadratic equation `2x^2+8x+k=0` are equal then find the value of k.
Choose the correct answer for the following question.
Out of the following equations, find the equation having the sum of its roots –5.
Which is the following equation quadratic?
x2 + 2x + 11 = 0
A tank fills completely in 2 hours if both the taps are open. If only one of the taps is open at the given time, the smaller tap takes 3 hours more than the larger one to fill the tank. How much time does each tap take to fill the tank completely?
Solve any four of the following.
Find the value of y in the equation x + y = 12, when x = 5
Solve the following quadratic equation :
x2 +8x + 15 = 0
Mukund has ₹ 50 more than Sagar. If the product of the amount they have is 15,000, then find the amount each has
