29 40. A ray of light coming along the line y x + 1 from positive x-direction strikes a concave mirror whose intersection with xy-plane is the parabola (y - x) = 16(x + y). Then which of the following is/are correct statement(s) %3D 47 YA reflected ray passes through (2, 2) B) slope of reflected ray is 79 7. (C) reflected ray passes through (1, 1) 4D) slope of normal at point of contact is

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Ques 40

40.
A ray of light coming along the line y = x + 1 from positive x-direction strikes a concave mirror
whose intersection with xy-plane is the parabola (y-x) = 16(x + y). Then which of the following
is/are correct statement(s)
YA reflected ray passes through (2, 2)
47
YB) slope of reflected ray is
(C) reflected ray passes through (1, 1)
79
40) slope of normal at point of contact is
41
Let L,:X+y = 1, z + 2y = 2 and L2: x- y = 1, z - 2y = 2 be two straight lines, then which of the
following is/are correct statement(s)?
A) the lines L, and L2 are coplanar
(B) the lines L, and L2 are non-coplanar
YC) on the line r 4j+2(i+ 2k), 2 e R, there exist infinite number of points such that an infinite
number of lines passing through each of these points and intersecting both the lines L, and L2
can be drawn
there exists a unique line passing through the point A(1, µ, 3) which intersect both lines L
and L2 Vu e R.
e +e4/x
42.
Let I =
dx , then which of the following is/are correct statement(s)?
O to
(AY 21=
e* +e4/x
dx
e +e
4/x
(B) 41 =
1
DiC)I> (e? – e)
xp-
(D) I < (e° - e)
and
9+r(r-1))
43
Let S = cot
Σcot
then which of the following is/are correct statement(s)?
719
Transcribed Image Text:40. A ray of light coming along the line y = x + 1 from positive x-direction strikes a concave mirror whose intersection with xy-plane is the parabola (y-x) = 16(x + y). Then which of the following is/are correct statement(s) YA reflected ray passes through (2, 2) 47 YB) slope of reflected ray is (C) reflected ray passes through (1, 1) 79 40) slope of normal at point of contact is 41 Let L,:X+y = 1, z + 2y = 2 and L2: x- y = 1, z - 2y = 2 be two straight lines, then which of the following is/are correct statement(s)? A) the lines L, and L2 are coplanar (B) the lines L, and L2 are non-coplanar YC) on the line r 4j+2(i+ 2k), 2 e R, there exist infinite number of points such that an infinite number of lines passing through each of these points and intersecting both the lines L, and L2 can be drawn there exists a unique line passing through the point A(1, µ, 3) which intersect both lines L and L2 Vu e R. e +e4/x 42. Let I = dx , then which of the following is/are correct statement(s)? O to (AY 21= e* +e4/x dx e +e 4/x (B) 41 = 1 DiC)I> (e? – e) xp- (D) I < (e° - e) and 9+r(r-1)) 43 Let S = cot Σcot then which of the following is/are correct statement(s)? 719
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