if y=mx+7sqrt(3) is normal to (x^(2))/(1...

if `y=mx+7sqrt(3)` is normal to `(x^(2))/(18)-(y^(2))/(24)=1` then the value of m can be

A

`(2)/(sqrt(5) `

B

`(4)/(sqrt(5))`

C

`(1)/(sqrt(5))`

D

`(2)/(sqrt(3)) `

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

CONIC SECTIONS
MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos
CONIC SECTIONS
MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos
COMPLEX NUMBERS
MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
INTRODUCTION TO THREE DIMENSIONAL GEOMETRY
MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

If the line y = mx + 7 sqrt(3) is normal to the hyperbola (x^(2))/(24)-(y^(2))/(18)=1 , then a value of m is :

If m_(1) and m_(2) are two values of m for which the line y = mx+ 2sqrt(5) is a tangent to the hyperbola (x^(2))/(4)-(y^(2))/(16)=1 then the value of |m_(1)+(1)/(m_(2))| is equal to

The line 9sqrt(3x)+12y=234 sqrt(3) is a normal to the hyperbola (x^(2))/(81)-(y^(2))/(36)=1 at the points

The line y=mx-((a^(2)-b^(2))m)/(sqrt(a^(2)+b^(2)m^(2))) is normal to the ellise (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 for all values of m belonging to (0,1)(b)(0,oo)(c)R(d) none of these

The value of m, for wnich the line y=mx+25(sqrt(3))/(3) is a normal to the conic (x^(2))/(16)-(y^(2))/(9)=1, IS

The line y=mx+c is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, if c

Let y=mx+c be a common tangent to (x^(2))/(16)-(y^(2))/(9)=1 and (x^(2))/(4)+(y^(2))/(3)=1 , then find the value of m^(2)+c^(2) .

If y=mx+5 is a tangent to x^(3)y^(3)=ax^(3)+by^(3) at point (1, 2), then the value of a is equal to

Find the value of m for which y=mx+6 is tangent to the hyperbola (x^(2))/(100)-(y^(2))/(49)=1

The value of m for which y=mx+6 is a tangent to the hyperbola (x^(2))/(100)-(y^(2))/(49)=1 , is

MODERN PUBLICATION-CONIC SECTIONS -COMPETITION FILE

Locus of the image of the point (2, 3) in the line (2x-3y""+""4)""+...
Text Solution
|
The number of common tangents to the circles x^(2)+y^(2)-4x-6y-12=0 a...
Text Solution
|
Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...
Text Solution
|
The area (in sq. units) of the quadrilateral formed by the tangents...
Text Solution
|
If one of the diameters of the circle, given by the equation, x^2+y^2-...
Text Solution
|
Let P be the point on the parabola, y^2=8x which is at a minimum dis...
Text Solution
|
The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0...
Text Solution
|
The eccentricity of the hyperbola whose length of the latus rectum i...
Text Solution
|
A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...
Text Solution
|
Let the orthocentre and centroid of a triangle be (-3,5) and B(3,3) r...
Text Solution
|
IF the tangent at (1,7) to the curve x ^(2) = y-6 touches the circle ...
Text Solution
|
Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....
Text Solution
|
If a variable line 3x+4y-lamda=0 is such that the two circles x^(2)+y^...
Text Solution
|
Let P(4,-4) and Q(9,6) be two points on the parabola, y^2=4x and let X...
Text Solution
|
Let C(1) and C(2) be the circles x^(2) + y^(2) - 2x - 2y - 2 = 0 and ...
Text Solution
|
Let a parabola be y=12-x^2. Find the maximum area of rectangle whose b...
Text Solution
|
If the vertices of the parabola be at (-2,0) and (2,0) and one of the ...
Text Solution
|
if y=mx+7sqrt(3) is normal to (x^(2))/(18)-(y^(2))/(24)=1 then the val...
Text Solution
|
Find the locus of mid-point of the portion of tangent intercepted betw...
Text Solution
|
One extremity of a focal chord of y^2 = 16x is A(1,4). Then the length...
Text Solution
|