The straight line xcostheta+ysintheta=2 ...

The straight line `xcostheta+ysintheta=2` will touch the circle `x^2+y^2-2x=0` if (a)`theta=npi,n in I Q` (b) `A=(2n+1)pi,n in I` `theta=2npi,n in I` (d) none of these

Text Solution

AI Generated Solution

Topper's Solved these Questions

COMPLEX NUMBERS AND QUADRATIC EQUATIONS
CENGAGE ENGLISH|Exercise All Questions|886 Videos
DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS
CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If A=[costheta-sinthetasinthetacostheta] , then A^T+A=I_2 , if theta=npi,\ \ n in Z (b) theta=(2n+1)pi/2,\ \ n in Z (c) theta=2n\ pi+pi/3,\ \ n in Z (d) none of these

If cos^2x+cos^2 2x+cos^2 3x=1 then (a) x=(2n+1)pi/4,\ n in I (b) x=(2n+1)pi/2,\ n in I (c) x=npi+-\ pi/6,\ n in I (d) none of these

The general solution of cosxcos6x=-1 is (a) x=(2n+1)pi,n in Z (b) x=2npi,n in Z (c) x=npi,n in Z (d) none of these

The function (sin(x+a))/(sin(x+b)) has no maxima or minima if b-a=npi,n in I b-a=(2n+1)pi,n in I b-a=2npi,n in I (d) none of these

The value(s) of theta , which satisfy 3-2\ costheta-4sintheta-cos2theta+sin2theta=0 is/are theta=2npi; n in I (b) 2npi+pi/2; n in I 2npi-pi/2; n in I (d) npi: n in I

If 4\ cos^2theta+sqrt(3)=2(sqrt(3)+1)costheta, then theta is 2npi+-pi/3, n in I (b) 2npi+-pi/4, n in I 2npi+-\ pi/6, n in I (d) none of these

General solution for |sinx|=cosx is (a) 2npi+pi/4,\ n in I (b) 2npi+-pi/4, n in 1 (c) npi+pi/4,\ n in 1 (d) none of these

Which of the following is not the general solution of 2^(cos2x)+1=3. 2^(-sin^2 x)? (a) npi,n in Z (b) (n+1/2)pi,n in Z (c) (n-1/2)pi,n in Z (d) none of these

If the line xcostheta+ysintheta=P is the normal to the curve (x+a)y=1, then show theta in (2npi+pi/2,(2n+1)pi)uu(2npi+(3pi)/2,(2n+2)pi),n in Z

The general solution of the equation 7cos^2theta+3sin^2theta=4 is theta=2npi+-pi/6,\ n Z b. theta=2npi+-(2pi)/3,\ n Z c. theta=2npi+-pi/3,\ n Z d. none of these

CENGAGE ENGLISH-CONIC SECTIONS-All Questions

f(x , y)=x^2+y^2+2a x+2b y+c=0 represents a circle. If f(x ,0)=0 has e...
Text Solution
|
The area bounded by the curves x^2+y^2=1,x^2+y^2=4 and the pair of lin...
Text Solution
|
The straight line xcostheta+ysintheta=2 will touch the circle x^2+y^2-...
Text Solution
|
The centre of a circle passing through (0,0), (1,0) and touching the C...
Text Solution
|
The locus of the centre of a circle which touches externally the circl...
Text Solution
|
If the two circles (x+1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect...
Text Solution
|
Two circles, each of radius 5 units, touch each other at (1, 2). If th...
Text Solution
|
The circle which can be drawn to pass through (1, 0) and (3, 0) and to...
Text Solution
|
The locus of the midpoints of the chords of contact of x^2+y^2=2 from ...
Text Solution
|
A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...
Text Solution
|
Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...
Text Solution
|
The equation of the tangent to the circle x^2+y^2=25 passing through (...
Text Solution
|
If the area of the quadrilateral by the tangents from the origin to th...
Text Solution
|
If the circles x^2+y^2-9=0 and x^2+y^2+2alphax+2y+1=0 touch each other...
Text Solution
|
Point M moves on the circle (x-4)^2+(y-8)^2=20. Then it brokes away f...
Text Solution
|
The points on the line x=2 from which the tangents drawn to the circl...
Text Solution
|
Co-ordinates of the centre of a circle, whose radius is 2 unit and whi...
Text Solution
|
Three sided of a triangle have equations L1-=y-mi x=o; i=1,2 and 3. Th...
Text Solution
|
If the equation x^2+y^2+2h x y+2gx+2fy+c=0 represents a circle, then t...
Text Solution
|
Consider two circles x^2+y^2-4x-6y-8=0 and x^2+y^2-2x-3=0 Statement 1...
Text Solution
|