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Maths-

General

Easy

Question

A ray emanating from the point (5,0) is incident on the hyperbola $9 x squared minus 16 y squared equals 144$ at the point P with abscissa 8. The equation of the reflected ray after first reflection is (P lies in first quadrant)

$3 \sqrt{3} x + 13 y + 15 \sqrt{3} = 0$
$3 \sqrt{3} x - 13 y + 15 \sqrt{3} = 0$
$3 \sqrt{3} x + 13 y - 15 \sqrt{3} = 0$
none of these

The correct answer is: $3 square root of 3 x minus 13 y plus 15 square root of 3 equals 0$

Related Questions to study

Let $P open parentheses ct subscript 1 comma straight c over straight t subscript 1 close parentheses$ and $Q open parentheses ct subscript 2 comma straight c over straight t subscript 2 close parentheses$ be the points of a rectangular hyperbola $x y equals c squared$ which subtends at another point R ' of the given hyperbola, if ' s ' be the mid polint of PQ and ' $straight O to the power of straight prime$ centre of the hyperbola then area of the $straight triangle ROS$ is equal to

Let $P open parentheses ct subscript 1 comma straight c over straight t subscript 1 close parentheses$ and $Q open parentheses ct subscript 2 comma straight c over straight t subscript 2 close parentheses$ be the points of a rectangular hyperbola $x y equals c squared$ which subtends at another point R ' of the given hyperbola, if ' s ' be the mid polint of PQ and ' $straight O to the power of straight prime$ centre of the hyperbola then area of the $straight triangle ROS$ is equal to

Statement 1: The number of triangles that can be formed with sides of length a,b,c where a,b,c are integers such that $a less or equal than b less or equal than c equals 15$ is 64 and
Statement 2: In a triangle the longest sides is less than the sum of the other two sides.

Statement 1: The number of triangles that can be formed with sides of length a,b,c where a,b,c are integers such that $a less or equal than b less or equal than c equals 15$ is 64 and
Statement 2: In a triangle the longest sides is less than the sum of the other two sides.

Number of quadrilaterals which can be constructed by joining the vertices of a convex polygon of 20 sides if none of the side of the polygon is also the side of the quadrilateral

Number of quadrilaterals which can be constructed by joining the vertices of a convex polygon of 20 sides if none of the side of the polygon is also the side of the quadrilateral

parallel

Number of positive integers that are divisors of atleast one of the numbers $10 to the power of 10 end exponent semicolon 15 to the power of 7 end exponent semicolon 18 to the power of 11 end exponent$ is

Number of positive integers that are divisors of atleast one of the numbers $10 to the power of 10 end exponent semicolon 15 to the power of 7 end exponent semicolon 18 to the power of 11 end exponent$ is

Let m denote the number of four digit numbers such that the left most digit is odd, the second digit is even and all four digits are different and n denotes the number of four digit numbers such that the left most digit is even, an odd second digit and all four different digits. If m = nk then the value of k equals

Let m denote the number of four digit numbers such that the left most digit is odd, the second digit is even and all four digits are different and n denotes the number of four digit numbers such that the left most digit is even, an odd second digit and all four different digits. If m = nk then the value of k equals

If f(x) is a real valued function discontinuous at all integral points lying in [0,n] and if $left parenthesis f left parenthesis x right parenthesis right parenthesis to the power of 2 end exponent equals 1 for all x element of left square bracket 0 comma n right square bracket$ then number of functions f(x) are

If f(x) is a real valued function discontinuous at all integral points lying in [0,n] and if $left parenthesis f left parenthesis x right parenthesis right parenthesis to the power of 2 end exponent equals 1 for all x element of left square bracket 0 comma n right square bracket$ then number of functions f(x) are

parallel

Number of positive integers that are divisiors of atleast one of the numbers $10 to the power of 10 end exponent semicolon 15 to the power of 7 end exponent semicolon 18 to the power of 11 end exponent$ is

Number of positive integers that are divisiors of atleast one of the numbers $10 to the power of 10 end exponent semicolon 15 to the power of 7 end exponent semicolon 18 to the power of 11 end exponent$ is

Find the eccentricity of the conic formed by the locus of the point of intersection of the lines $square root of 3 x minus y minus 4 square root of 3 k equals 0$ and $square root of 3 kx plus ky minus 4 square root of 3 equals 0$

Find the eccentricity of the conic formed by the locus of the point of intersection of the lines $square root of 3 x minus y minus 4 square root of 3 k equals 0$ and $square root of 3 kx plus ky minus 4 square root of 3 equals 0$

If the normal to the rectangular hyperbola $xy equals straight c squared$ at the point $straight capital psi to the power of prime$ ' meets the curve again at $t subscript 1$ ' then $straight t cubed straight t subscript 1$ has the value equal to

If the normal to the rectangular hyperbola $xy equals straight c squared$ at the point $straight capital psi to the power of prime$ ' meets the curve again at $t subscript 1$ ' then $straight t cubed straight t subscript 1$ has the value equal to

parallel

Rank the following compounds in order of increasing basic strength.(weakest strongest):

Rank the following compounds in order of increasing basic strength.(weakest strongest):

Chemistry-General

Predict the major product P in the following reaction

Predict the major product P in the following reaction

Chemistry-General

What is the product of the following reaction?

What is the product of the following reaction?

Chemistry-General

parallel

Total number of enol possible for the compound formed during given reaction will be
(including stereoisomer):

Total number of enol possible for the compound formed during given reaction will be
(including stereoisomer):

Chemistry-General

What is compound Z? $C H subscript 3 end subscript C H subscript 2 end subscript C H subscript 2 end subscript B r stack ⟶ with N a C N on top X stack stack ⟶ with H subscript 3 end subscript O to the power of plus end exponent on top with text heat end text below Y stack stack ⟶ with C H subscript 3 end subscript C H subscript 2 end subscript O H on top with text end text H to the power of plus end exponent text end text below$

What is compound Z? $C H subscript 3 end subscript C H subscript 2 end subscript C H subscript 2 end subscript B r stack ⟶ with N a C N on top X stack stack ⟶ with H subscript 3 end subscript O to the power of plus end exponent on top with text heat end text below Y stack stack ⟶ with C H subscript 3 end subscript C H subscript 2 end subscript O H on top with text end text H to the power of plus end exponent text end text below$

Chemistry-General

What is the final product(B)of this sequence?

What is the final product(B)of this sequence?

Chemistry-General

parallel

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