MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 6

EASY

11th CBSE

IMPORTANT

Earn 100

The coordinates of the orthocentre of the triangle formed by the lines $x y = 0$ and $x + y = 1$ is given by $(a, b)$ . Then find the value of $a + b$ .

50% studentsanswered this correctly

Important Questions on The Straight Lines

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 7

If the lines $x + a y + a = 0, b x + y + b = 0$ and $c x + c y + 1 = 0$ are concurrent, then write the value of $2 a b c - a b - b c - c a$ .

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 8

Write the area of the triangle formed by the coordinate axes and the line

(\sec θ - \tan θ) x + (\sec θ + \tan θ) y = 2

.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 9

If the diagonals of the quadrilateral formed by the lines

l_{1} x + m_{1} y + n_{1} = 0, l_{2} x + m_{2} y + n_{2} = 0, l_{1} x + m_{1} y + n_{1}^{'} = 0

and

l_{2} x + m_{2} y + n_{2}^{'} = 0

are perpendicular, then write the value of

l_{1}^{2} - l_{2}^{2} + m_{1}^{2} - m_{2}^{2}

.

MEDIUM

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 10

Write the sum of the coordinates of the image of the point

(3, 8)

in the line

x + 3 y - 7 = 0

.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 11

Write the integral values of $m$ for which the $x$ -coordinate of the point of intersection of the lines $y = m x + 1$ and $3 x + 4 y = 9$ is an integer.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 12

If

a \neq b \neq c

, write the condition for which the equations

(b - c) x + (c - a) y + (a - b) = 0

and

(b^{3} - c^{3}) x + (c^{3} - a^{3}) y + (a^{3} - b^{3}) = 0

represent the same line.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 13

If

a, b, c

are in G.P. write the area of the triangle formed by the line

a x + b y + c = 0

with the coordinates axes.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 23 - The Straight Lines>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 14

If the area of the figure formed by the lines

a | x | + b | y | + c = 0

is

\frac{k c^{2}}{| a b |} Sq.units

then find the value of

k

.