Maths-
General
Easy
Question
If
are two A
M’s between
and
and
are two GM’s between
and
then
is
- None of these
The correct answer is: ![fraction numerator a plus b over denominator a b end fraction](data:image/png;base64,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)
are in AP
![therefore blank A subscript 1 end subscript minus a equals b minus A subscript 2 end subscript](data:image/png;base64,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)
![rightwards double arrow blank A subscript 1 end subscript plus A subscript 2 end subscript equals a plus b](data:image/png;base64,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)
And
are in GP.
![therefore blank fraction numerator G subscript 1 end subscript over denominator a end fraction equals fraction numerator b over denominator G subscript 2 end subscript end fraction](data:image/png;base64,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)
![rightwards double arrow G subscript 1 end subscript G subscript 2 end subscript equals a b](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGMAAAARCAYAAADJ0RJfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAg9JREFUeNpjYKAPsATi5UD8AYh/QOnFQGw8yMykNfgGxEwD6YBWIN4GxLZIDuED4jQgXjWIzKQ1UAHiSwPpgGognj0EzKQHCIDmZKqBEmgKJAbIA/ENIGahov20MJMaAJQ7G4H4JRD/AuILULcig3poQgKpew4tWvcDsSQlqfIhEFsTobYDiPOo7GlamAkD/4nAuMAWIJ4ExILQiFkFzQnIACR2F4jLkdT1Ecot/4nErQQqoyvQcpKagBZmUgoisdRTC4HYC03sFhBroYmBSplPlDpgLjRCluLJtt9oUBR8Yxh8YD+0ZYcMDqIVU7jczkEoMojNGR14cgYbEL/GY4c51BOkAFqYSY1iCr25CmJ/IdJtoEjcS+s6gwna7seXtedjEVcD4lpoBUgNM2GBCKpUj9KoiENPIKCwOUekf4ug/iW7NcVDpFpQxWSAQw5U2SVjEV8M7Sv8p6KZsIjMwhJI1ABPocUNDIACdw0WtyViyemXKGlNkQIEoXVKDhDLIolLQlOpF4Eig9pmMkCbk9QGzUA8Exrh8lD3bUNTsw5agbtA+dJQsUR6V3CgANoADYgv0MptCjRlkBoZlJhpD1VHq87tKmiu4ID2N5CbtiC+HzRC/kCL4YCh0lv9T2XzYDlHiU7uF2UYRoCakaEG7ZRJMoyCAY0MSWj5zTcapAMfGaCI0BgNTup1vAaTeTQFAGXsrHDkEr5QAAAAsHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3gyMUQyOzwvbW8+PG1zdWI+PG1pPkc8L21pPjxtbj4xPC9tbj48L21zdWI+PG1zdWI+PG1pPkc8L21pPjxtbj4yPC9tbj48L21zdWI+PG1vPj08L21vPjxtaT5hPC9taT48bWk+YjwvbWk+PC9tYXRoPsvGBXMAAAAASUVORK5CYII=)
![therefore blank fraction numerator A subscript 1 end subscript plus A subscript 2 end subscript over denominator G subscript 1 end subscript G subscript 2 end subscript end fraction equals fraction numerator a plus b over denominator a b end fraction](data:image/png;base64,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)
Related Questions to study
maths-
the sum of
terms of the infinite series
is
the sum of
terms of the infinite series
is
maths-General
maths-
The value of
where
is
The value of
where
is
maths-General
maths-
The number 111…1 (91 times) is a/an
The number 111…1 (91 times) is a/an
maths-General
maths-
Number of identical terms in the sequence 2, 5, 8, 11,… upto 100 terms and 3, 5, 7, 9, 11,… upto 100 terms, are
Number of identical terms in the sequence 2, 5, 8, 11,… upto 100 terms and 3, 5, 7, 9, 11,… upto 100 terms, are
maths-General
maths-
If
, then
If
, then
maths-General
maths-
The sum of series
is
The sum of series
is
maths-General
maths-
is equal to
is equal to
maths-General
maths-
The sum of the series
upto 20 terms is
The sum of the series
upto 20 terms is
maths-General
maths-
The sum of
terms of the series
will be
The sum of
terms of the series
will be
maths-General
maths-
Orthocentre of triangle with vertices (0, 0), (3, 4) and (4, 0) is
Orthocentre of triangle with vertices (0, 0), (3, 4) and (4, 0) is
maths-General
maths-
The line
and
intersect the line
at P and Q respectively. The bisector of the acute angle between L1 and L2 intersects L3 at R
Statement - 1 : The ratio PR : RQ equals ![2 square root of 2 colon square root of 5](data:image/png;base64,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)
Statement - 2 : In any triangle, bisector of an angle divides the triangle into two similar triangles.
The line
and
intersect the line
at P and Q respectively. The bisector of the acute angle between L1 and L2 intersects L3 at R
Statement - 1 : The ratio PR : RQ equals ![2 square root of 2 colon square root of 5](data:image/png;base64,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)
Statement - 2 : In any triangle, bisector of an angle divides the triangle into two similar triangles.
maths-General
maths-
If one of the lines given by
is 3x + 4y = 0, then c equals :
If one of the lines given by
is 3x + 4y = 0, then c equals :
maths-General
maths-
If the sum of first
natural numbers is 1/5 times the sum of their squares, then the value of
is
If the sum of first
natural numbers is 1/5 times the sum of their squares, then the value of
is
maths-General
maths-
If
, then the value of x in terms of y is
If
, then the value of x in terms of y is
maths-General
maths-
Given the lines y + 2x = 3 and y + 2x = 5 cut the axes at A, B and C, D respectively.
Statement- I ABDC forms quadrilateral and point (2, 3) lies inside the quadrilateral
Statement- II Point lies on same side of the lines.
Given the lines y + 2x = 3 and y + 2x = 5 cut the axes at A, B and C, D respectively.
Statement- I ABDC forms quadrilateral and point (2, 3) lies inside the quadrilateral
Statement- II Point lies on same side of the lines.
maths-General