The distance between the two parallel lines is 1 unit. A
point ' \( \mathrm{A} \) ' is chosen to.... VIDEO
The distance between the two parallel lines is 1 unit. A
\( \mathrm{P} \)
point ' \( \mathrm{A} \) ' is chosen to lie between the lines at a distance ' \( \mathrm{d} \) ' from one of them. Triangle \( \mathrm{ABC} \) is equilateral with \( \mathrm{B} \) on one line and \( \mathrm{C} \) on the other parallel line. The length of the side of the equilateral triangle is:
(1) \( \frac{2}{3} \sqrt{d^{2}+d+1} \)
(2) \( 2 \sqrt{\frac{d^{2}-d+1}{3}} \)
(3) \( 2 \sqrt{d^{2}-d+1} \)
(4) \( \sqrt{d^{2}-d+1} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-22 The slope of one of lines given by \( a x^{2}+2 h x y+b y^{2}= \)
0 be the square of the slope o.... 2024-01-22 The base of an isosceles triangle is the intercept made
by the line \( x+2 y=4 \) with the coord.... 2024-01-22 The number of integral points inside the triangle made
by the line \( 3 x+4 y-12=0 \) with the c.... 2024-01-22 Two sides of a rhombus \( A B C D \) are parallel to lines \( y= \)
\( x+2 \) and \( y=7 x+3 \)..... 2024-01-22 The vertex of right angle of a right angled triangle lies
on the straight line \( 2 x+y-10=0 \) .... 2024-01-22 Two side of a triangle have the joint equation \( (x-3 y+ \) 2) \( (x+y-2)=0 \), the third side .... 2024-01-22 Let \( A \equiv(3,2) \) and \( B \equiv(5,1), A B P \) is an equilateral
triangle is constructed.... 2024-01-22 If the lines \( x+y+1=0 ; 4 x+3 y+4=0 \) and \( x+\alpha x+\beta \)
\( =0 \), where \( \alpha^{2.... 2024-01-22 If \( P \equiv\left(\frac{1}{x_{p}}, p\right) ; Q=\left(\frac{1}{x_{q}}, q\right) ; R=\left(\fra.... 2024-01-22 Match the following:
\begin{tabular}{|l|l|l|l|}
\hline & List -I & & List-II \\
\hline (A) & \be.... 2024-01-22 The distance between the two parallel lines is 1 unit. A
point ' \( \mathrm{A} \) ' is chosen to.... 2024-01-22 What is the \( y \)-intercept of the line that is parallel to \( y= \)
\( 3 x \), and which bise.... 2024-01-22 Given \( A \equiv(1,1) \) and \( A B \) is any line through it cutting
the \( x \)-axis is \( B .... 2024-01-22 A piece of cheese is located at \( (12,10) \) in a coordinate plane. A mouse is at \( (4,-2) \) .... 2024-01-22 The line \( x=c \) cuts the triangle with comers \( (0,0),(1,1) \)
and \( (9,1) \) into two regi.... 2024-01-22 Match the following:
\begin{tabular}{|l|l|l|l|}
\hline & \multicolumn{1}{|c|}{ List -I } & & \mu.... 2024-01-22 Consider set
\[
A=\left\{T(r+1)={ }^{n} C_{r}(3)^{n-r}(5 x)^{r}, r=0,1,2,3, \ldots, n\right\}
\].... 2024-01-22 The coefficient of \( x^{12} \) in the expansion of
\( \left(1-x^{2}+x^{4}\right)^{3}(1-x)^{7} \.... 2024-01-22 The equations of \( L_{1} \) and \( L_{2} \) are \( y=m x \) and \( y=n x \),
respectively. Supp.... 2024-01-22 If \( \mathrm{L} \) is the line whose equation is \( a x+b y=c \). Let \( M \) be the reflection.... 2024-01-22 If \( P=(10+3 \sqrt{11})^{n} \) and \( f=p-[p] \) where \( [\cdot] \) denotes
the greatest integ....