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Standard VII

Mathematics

Intercept Form of a Line

The sum of th...

Question

The sum of the intercept cut off by the axes on lines $x + y = a, x + y = a r, x + y = a r^{2}, . . . .$ where $a \neq 0$ and $r = \frac{1}{2}$

2 a

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a \sqrt{2}

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2 \sqrt{2} a

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4 a

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Solution

The correct option is D $4 a$

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Similar questions

Q. The sum of the intercepts cut off by the axes on the lines

x + y = a, x + y = a r, x + y = a r^{2} \dots \dots \dots

where

a \neq 0

and

r = \frac{1}{2}

Q. The sum of the intercepts cut off by the axes on the lines

x + y = a, x + y = a r, x + y = a r^{2} \dots \dots \dots

where

a \neq 0

and

r = \frac{1}{2}

For what values of a a and b the intercepts cut off on the coordinate axes by the line ax + by + 8 = 0 are equal in length but opposite in signs to those cut off by the line 2x - 3y + 6 = 0 on the axes.

Q. Find the intercepts cut off by the line

x + y - 1 = 0

on the axes.

Q. For what values of

a

and

b

the intercepts cut off on the coordinate axes by the line

a x + b y + 8 = 0

are equal in length but opposite in signs to those cut off by the line

2 x - 3 y + 6 = 0

on the axis.

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The sum of the intercept cut off by the axes on lines x+y=a,x+y=ar,x+y=ar2,.... where a≠0 and r=12

The correct option is D 4a

The sum of the intercept cut off by the axes on lines $x + y = a, x + y = a r, x + y = a r^{2}, . . . .$ where $a \neq 0$ and $r = \frac{1}{2}$

The correct option is D $4 a$