If two distinct points \( Q, R \) lie on the line of intersection of the planes \( -x+2 y-z=0 \)... VIDEO
If two distinct points \( Q, R \) lie on the line of intersection of the planes \( -x+2 y-z=0 \) and \( 3 x-5 y+2 z=0 \) and \( P Q=P R \) \( \sqrt{18} \), where the point \( P \) is \( (1,-2,3) \), then the area of the \( \triangle P Q R \) is equal to
(a) \( \frac{2}{3} \sqrt{38} \)
(b) \( \frac{4}{3} \sqrt{38} \)
(c) \( \frac{8}{3} \sqrt{38} \)
(d) \( \sqrt{\frac{152}{3}} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2023-06-09 A manufacturer of patent medicines is preparing a production plan on medicines \( A \) and \( B ... 2023-06-09 A dealer wishes to purchase a number of fans and sewing machines. He has only ₹ 5760 to invest a... 2023-06-09 A non-zero vector \( \vec{a} \) is parallel to the line of intersection of the plane determined ... 2023-06-09 Anil wants to invest at the most ₹ 12000 in bonds \( A \) and \( B \). According to rules, he ha... 2023-06-09 The region represented \( x, y \geq 0, y \leq 6, x+y \leq 9 \) is
(a) Unbounded in first quadran... 2023-06-09 In equations \( 5 x-y \geq 5 \) and \( 4 x-y4 \)
(a) Have solution for positive \( x \) and \( y... 2023-06-09 The true statement for the graph of inequations \( x+y \leq 3 \) and \( 3 x+2 y \geq 10 \) is
(a... 2023-06-09 Let \( P \) be the plane passing through the intersection of the planes \( \boldsymbol{r} \cdot(... 2023-06-09 Let \( \alpha, \beta \) and \( \gamma \) be real numbers such that the system of linear equation... 2023-06-09 Let \( d \) be the distance between the foot of perpendiculars of the points \( P(1,2,-1) \) and... 2023-06-09 If two distinct points \( Q, R \) lie on the line of intersection of the planes \( -x+2 y-z=0 \)... 2023-06-09 The solution set of the inequation \( e x+\pi y1 \) is
(a) Half plane that contains the origin
(... 2023-06-09 The acute angle between the planes \( P_{1} \) and \( P_{2} \), when \( P_{1} \) and \( P_{2} \)... 2023-06-09 Let \( \alpha, \beta \) and \( \gamma \) be real numbers such that the system of linear equation... 2023-06-09 If the plane \( 2 x+y-5 z=0 \) is rotated about its line of intersection with the plane \( 3 x-y... 2023-06-09 Let the \( \operatorname{lines} \frac{x-1}{\lambda}=\frac{y-2}{1}=\frac{z-3}{2} \) and \( \frac{... 2023-06-09 Let \( Q \) be the mirror image of the point \( P(1,0,1) \) with respect to the plane \( S: x+y+... 2023-06-09 Let the plane \( a x+b y+c z=d \) passes through \( (2,3,-5) \) and is perpendicular to the plan... 2023-06-09 A plane \( P \) is parallel to two lines whose direction ratios are \( -2,1,-3 \) and \( -1,2,-2... 2023-06-09 A plane \( \mathrm{E} \) is perpendicular to the two planes \( 2 x-2 y+z=0 \) and \( x-y+2 z=4 \... 2023-06-09 In the mirror image of the point \( (2,4,7) \) in the plane \( 3 x-y \) \( +4 z=2 \) is \( (a, b...