Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 12

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$A B C$ is an isosceles triangle whose base is $B C$ . If $B$ and $C$ are $(a + b, b - a)$ and $(a - b, a + b)$ Then co-ordinates of $A$ may be

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Important Questions on Straight Lines

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 13

If two vertices of an equilateral triangle are

(1, 1)

and

(- 1, - 1)

then the third vertex may be

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 14

If the lines

x + 2 y + 3 = 0, x + 2 y - 7 = 0

and

2 x - y - 4 = 0

form three sides of a square, the equation of fourth side may be

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 15

Let

L_{1}

be a straight line passing through

(0, 0)

and

L_{2}

be

x + y = 1

. If the intercepts made by the circle

x^{2} + y^{2} - x + 3 y = 0

on

L_{1}

and

L_{2}

are equal, then which of the following equations can represent

L_{1}

?

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 16

The equation(s) of the straight line(s), inclined at

30 °

to the

x

-axis such that the length of its (each of their) line segment(s) between the co-ordinate axes is

10 units

, is (are)

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 17

A (1,3)

and

C (7,5)

are two opposite vertices of a square

A B C D .

The equation of a side through

A

is

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 18

The locus represented by the equation

x^{2} + y^{2} + a^{2} = 0

where

a \in R

may be

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 19

The area formed by the straight lines represented by the equation

x^{3} + y^{3} - k x^{2} y + a y^{2} x = 0

will be zero for

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Gamma Question Bank for Engineering Mathematics>Chapter 13 - Straight Lines>Assignment>Q 20

A right angled triangle

A B C,

right angled at

C,

is such that

A C = a; B C = b

and the angular points

A

and

B

slide along two given perpendicular axes respectively, the locus of

C

may be