Sponsor Area
Sequences And Series
Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation
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x2 + 18x +16 = 0
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x2-18x-16 = 0
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x2+18x-16 =0
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x2-18x +16 =0
D.
x2-18x +16 =0
Let α and β be two numbers whose arithmetic mean is 9 and geometric mean is 4.
∴ α + β = 18 ........... (i)
and αβ =16 ........... (ii)
∴ Required equation is x2 - (α + β)x + (αβ) = 0 ⇒ x2 - 18x + 16 = 0 [using equation (i) and equation (ii)]
Some More Questions From Sequences and Series Chapter
The coordinates of points in the XY-plane are of the form __________.
Coordinate planes divide the space into _______ octants.
Let P (-2, 3, -4) is a point in space. Find the co-ordinates of the foot of perpendicular from this point to ZX-plane.
Let P (-2, 3, -4) is a point in space. Find the foot of perpendicular from this point to the z-axis.
Let P (-2, 3, -4) is a point in space. Find the the perpendicular distance of P from XY-plane.
Name the octants in which the following points lie:
A (2, 3, 4), B (6, -3, 3), C (2, -1, -6), D (2, 2, -3), E (-1, 3, -6), F (-1, 3, 3), G (-3, -2,5) and H (-1,-2,-5).
A (2, 3, 4), B (6, -3, 3), C (2, -1, -6), D (2, 2, -3), E (-1, 3, -6), F (-1, 3, 3), G (-3, -2,5) and H (-1,-2,-5).
The co-ordinates of a point A are (2, -3, 6). Write down the co-ordinates of seven points whose absolute values are the same as those of the co-ordinates of the given point.
Sponsor Area
Mock Test Series
Mock Test Series