Advertisements
Advertisements
प्रश्न
If P(y) = y² - 2y + 5, find P(2) .
उत्तर
P(y) = y²- 2y +5
∴ P(2) = 2² + 2 ( 2 ) + 5
= 4 - 4 + 5
= 5
APPEARS IN
संबंधित प्रश्न
The divisor and quotient of the number 6123 are same and the remainder is half the divisor. Find the divisor.
(a) `3x-x^2=x^2+5` (b) `(x+2)^2=2(x^2-5)`
(c) `(sqrt2x+3)^2=2x^2+6` (d)` (x-1)^2=3x^2+x-2`
If one root of the equation` 3x^2-10x+3=0 is 1/3` then the other root is
(a) `-1/3` (b) `1/3` (c)`-3` (d)`3`
If α and β are the roots of the equation `3x^2+8x+2=0` then (1/α+1/β)=?
(a)` -3/8` (b) `2/3` `(c) -4 (d)4`
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 the equation 2x^2-6x+7=0 are
(a) real, unequal and rational (b) real, unequal and irrational (c) real and equal (d) imaginary
The roots of the equation `2x^2-6x+3=0` are
(a) real, unequal and rational (b) real, unequal and irrational (c) real and equal (d) imaginary
If the equation `x^2-5x+1=0` has no real roots then
(a)`k<-2`
(b)`k>2`
(c) `-2<k<2`
(d) None of these
If `x=-1/2` is a solution of the quadratic equation `3x^2+2kx-3=0`
Find the value of k.
If one zero of the polynomial `x^2-4x+1 is (2+sqrt3)` write the other zero.
Solve` 4sqrt3x^2+5x-2sqrt3=0`
If 1 is a root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0 then ab equals: ?
Mr. Kasam runs a small business of making earthen pots. He makes certain number of pots on daily basis. Production cost of each pot is Rs 40 more than 10 times total number of pots, he makes in one day. If production cost of all pots per day is Rs 600, find production cost of one pot and number of pots he makes per day.
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 the following quadratic equation :
x2 +8x + 15 = 0
Obtain a quadratic equation whose roots are –3 and –7.
Write the following equation in the form ax2 + bx + c= 0, then write the values of a, b, c for equation.
P(3+6p) = –5
Find the value of k for which the quadratic equation kx (x − 2) + 6 = 0 has two equal roots.
If 460 is divided by a natural number, then quotient is 2 more than nine times the divisor and remainder is 5. Find the quotient and divisor.
In the adjoining fig. `square` ABCD is a trapezium AB || CD and its area is 33 cm2. From the information given in the figure find the lengths of all sides of the `square` ABCD. Fill in the empty boxes to get the solution.
Solution: `square` ABCD is a trapezium.
AB || CD
`"A"(square "ABCD") = 1/2 ("AB" + "CD") xx`______
33 = `1/2 ("x" + 2"x" + 1) xx `______
∴ ______ = (3x + 1) × ______
∴ 3x2 +______ − ______ = 0
∴ 3x(______) + 10(______) = 0
∴ (3x + 10) (______) = 0
∴ (3x + 10) = 0 or ______ = 0
∴ x = `-10/3` or x = ______
But length is never negative.
∴ `"x" ≠ -10/3`
∴ x = ______
AB = ______, CD = ______, AD = BC = ______
