Advertisements
Advertisements
प्रश्न
Decide whether the following equation is quadratic equation or not.
`"y"^2 + 1/"y" = 2`
उत्तर
`"y"^2 + 1/"y" = 2`
∴ `"y" xx "y"^2 + "y" xx 1/"y" = "y" xx 2` ....[Multiplying both sides by y]
∴ y3 + 1 = 2y
∴ y3 − 2y + 1 = 0
Here y is the only variable and the maximum index of the variable is not 2.
∴ It is not a quadratic equation.
संबंधित प्रश्न
The sum of the roots of the equation` x^2-6x+2=0`
(a) 2 (b)-2 (c)6 (d)-6
The roots of the equation `ax^2+bx+c=0` will be reciprocal each other if
(a)a=b (b)b=c (c)=a (d)= none of these
The roots of `ax^2+bx+c=0`,a≠0 are real and unequal, if `(b^2-4ac)` is
(a)>0 (b)=0 (c)<0 (d)none of these
If the roots of` 5x^2-k+1=0` are real and distinct then
(a)`-2sqrt5<k2<sqrt5` (b)` k>2sqrt5 ` only
(c)` k<-2sqrt5` (d) either `k>2sqrt5 or k<-2sqrt5`
For what value of k, the equation `kx^2-6x2=0` has real roots?
(a) `k≤-9/2` (b)`k≥-9/2`
(c)` k≤-2` (d) None of these
The perimeter of a rectangle is 82m and its area is `400m^2` . The breadth of the rectangle is
(a) 25m (b)20m
(c) 16m (d)9m
The roots of the quadratic equation `2x^2-x-6=0`
(a)`-2, 3/2` (b) `2, -3/2`
(c)` -2, 3/2` (d) `2, 3/2`
If `x=-1/2` is a solution of the quadratic equation `3x^2+2kx-3=0`
Find the value of k.
Find the roots of the quadratic equation `2x^2-x-6=0`
Find the value of k for which the quadratic equation `9x^2-3kx+k=0` has equal roots.
Solve `3x^2+5sqrt5x-10=0`
Write the following equations in the form ax2 + bx + c= 0, then write the values of a, b, c for each equation.
p(3+6p) = –5
Product of Pragati’s age 2 years ago and 3 years hence is 84. Find her present age.
Pratik takes 8 hours to travel 36 km downstream and return to the same spot. The speed of boat in still water is 12 km. per hour. Find the speed of water current.
Choose the correct answer for the following question.
Out of the following equations which one is not a quadratic equation?
If in an A. P., d = 10, find t6 - t2.
Convert 15 : 20 into percentage.
Mukund has ₹ 50 more than Sagar. If the product of the amount they have is 15,000, then find the amount each has
In an orchard there are total 200 trees. If the number of trees in each column is more by 10 than the number of trees in each row, then find the number of trees in each row
