WebIf the image of the point P(1, −2, 3) in the plane, 2x+3y−4z+22=0 measured parallel to the line, 1x= 4y= 5z is Q, the PQ is equal to. A 3 5 B 2 42 C 42 D 6 5 Medium JEE Mains Solution Verified by Toppr Correct option is B) Equation of plane: P 2x+3y−4z+22=0 Direction ratio of plane are: (2,3,−4) Equation of line: L 1 1x= 4y= 5z
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WebIf the mirror image of the point (1,3,5) with respect to the plane 4x−5y+2z =8 is (α,β,γ), then 5(α+β+γ) equals: A 47 B 39 C 43 D 41 Solution The correct option is A 47 Image of (1,3,5) in the plane 4x−5y+2z= 8 is (α,β,γ) ⇒ α−1 4 = β−3 −5 = γ−5 2 = −2[ 4(1)−5(3)+2(5)−8 42+52+22] = 2 5 ∴ α =1+4(2 5) = 13 5 β = 3−5(2 5) =1 = 5 5 γ = 5+2(2 5) = 29 5 WebSolution Verified by Toppr Correct option is B) We know that the image (x,y,z) of point (x 1,y 1z 1) In a plane ax+by+cz+d=0 is ax−x 1= by−y 1= cz−z 1= a 2+b 2+c 2−2(ax 1+by 1+cz …
WebThe closest point on the line should then be the midpoint of the point and its reflection. To do this for y = 3, your x-coordinate will stay the same for both points. The y-coordinate will be the midpoint, which is the average of the y-coordinates of our point and its reflection. (y1 + y2) / 2 = 3 y1 + y2 = 6 y2 = 6 - y1 WebApr 2, 2024 · Solution For - נ EE Main 2024 DC ≡ ExamSIDE Let the image of the point P(2,−1,3) in the plane x+2y−z=0 be Q. Then the distance of the plane 3x+2y+z+29=0 from …
WebAlso, we have given plane, so I'm just writing it here. Three x minus Y plus two dead is equal to five. Now, let this situation be one and let this equation be Equation number two Now writing the equation of the plane so I can write the express an edge 33 minus one minus one plus two T plus two three minus T is equal to five. WebUBM images were qualitatively analyzed using standardized criteria. ... steep iris root from its point of insertion followed by a downward angulation, flat iris plane, and irido-angle contact. ... recruited. The mean (standard deviation) ages of PAC and PACG patients and normal controls were 73.5 (6.2) and 72.6 (7.3), respectively. Based on UBM ...
WebApr 6, 2024 · The point obtained on the plane would be mid-point for the Line PQ, where Q is the coordinates of the image of Point P. Using the midpoint formula the student can …
WebJan 16, 2015 · Find the coordinates of the foot of the perpendicular and the perpendicular distance of the point (1,3,4) from the plane 2x - y + z + 3 = 0. Find also, the image of the point in the plane. Asked by Jerrin Thomas 16 Jan, 2015, 12:36: PM nitech pelletized asphaltWebAnswer Find the direction cosines of the sides of the triangle whose vertices are (3, 5, –4), (–1, 1, 2) and (–5, –5, –2). 145 Views Answer If a line makes angles 90°, 135°, 45° with x, y and z-axes respectively, find its direction cosines. 439 Views Answer Show that the points (2, 3, 4), (–1, –2, 1), (5, 8, 7) are collinear. 119 Views Answer nitech libraryWebApr 3, 2024 · Hint: The image of a point with respect to a plane is a point which is in the opposite direction to the plane at an equal distance, and the line joining the point and its image is perpendicular to the plane. Complete step-by-step answer: Let the point be A ( … nitech micro switchWebBased on a vectorial analysis of the image formation in a RESOLFT microscope, we develop a method to effectively search for optimal zero intensity point patterns under typical experimental conditions. Using this approach, we derived a spatial intensity distribution that optimizes the focal plane resolution. nurse revalidation formsWebPoint on plane R (− 3 7 , − 3 4 , − 3 1 ) Normal vector of plane is 3 10 i ^ + 3 10 j ^ + 3 10 k ^ Equation of require plane is x + y + z = 1 Hence (1, − 1, 1) lies on plane Questions from Three Dimensional Geometry nurse revalidation reflective accountsWebFeb 17, 2024 · Find the image of the point $(1,3,4)$ on the plane $2x-y+z+3=0$. Let the image be $(a,b,c)$. Equation of the line joining $(1,3,4)$ and $(a,b,c)$ is $(a-1,b-3,c-4)$ … nitech matlabWeb2 hours ago · The Buffalo Sabres defenseman - who's also 20 years old - paced all rookies in average ice time at nearly 24 minutes and registered nearly half a point per game in 2024 … nurse revalidation reference examples