Question 1: Palette 1/6

BITSAT 2025 MCQ

104. If $p, q, r$ are in GP and the line $p x+q y+r=0$ forms a triangle with the coordinate axes, what is the area of the triangle if $p=2, q=4$ and $r=8$ ?

A

2

B

-4

C

4

D

-2

Question 2: Palette 2/6

BITSAT 2025 MCQ

If four lines $a x \pm b y \pm c=0$ encloses a rhombus, then the area is

A

$\frac{1}{a b c}$ sq. units

B

$2 a b c$ sq. units

C

$\frac{2 c^2}{a b}$ sq. units

D

None of these

Question 3: Palette 3/6

BITSAT 2025 MCQ

If the equation $2 h x y+2 g x+2 f y+c=0$ represents two straight lines, then the area of rectangle formed with the coordinates axes is

A

$\frac{|f g|}{h^2}$

B

$\frac{-f}{h}$

C

$\frac{f g}{h}$

D

$\frac{2 f g}{h}$

Question 4: Palette 4/6

BITSAT 2024 MCQ

If $ a, c, b $ are in GP, then the area of the triangle formed by the lines $ a x+b y+c=0 $ with the coordinates axes is equal to

A

1

B

2

C

$ \frac{1}{2} $

D

None of thes

Question 5: Palette 5/6

BITSAT 2021 MCQ

The equations of the bisector of the angles between the straight lines 3x + 4y + 7 = 0 and 12x + 5y $-$ 8 = 0 are :

A

7x + 9y + 17 = 0, 99x + 77y + 51 = 0

B

7x $-$ 9y $-$ 17 = 0, 99x + 77y $-$ 51 = 0

C

7x $-$ 9y + 17 = 0, 99x + 77y + 51 = 0

D

None of the above

Question 6: Palette 6/6

BITSAT 2020 MCQ

The measurement of the distance from point A(1, 2) parallel to the line 3x $-$ y = 10 to the line x + y + 5 = 0 is

A

$2\sqrt 5 $

B

$2\sqrt {10} $

C

$4\sqrt 5 $

D

$4\sqrt {10} $