If the point (2,k) lies outside the circ...

If the point `(2,k)` lies outside the circles `x^2+y^2+x-2y-14=0a n dx^2+y^2=13" then k"` lies in the interval (a)`(-3,-2)uu(3,4)` (b) `(-3,4)` (c) `(-oo,-3)uu(4,oo)` (d) `(-oo-2)uu(3,oo)`

Text Solution

AI Generated Solution

Topper's Solved these Questions

STATISTICS
RD SHARMA ENGLISH|Exercise All Questions|216 Videos
THE STRAIGHT LINES
RD SHARMA ENGLISH|Exercise All Questions|493 Videos

Similar Questions

Explore conceptually related problems

If the point (2a,a) lies inside the parabola x^(2) -2x - 4y +3 = 0 , then a lies in the interval (a) [1/2,3/2] (b) (1/2,3/2) (c) (1,3) (d) (-3/2,-1/2)

If the point (lambda,lambda+1) lies inside the region bounded by the curve x=sqrt(25-y^2) and y-a xi s , then lambda belongs to the interval (-1,3) (b) (-4,3) (c) (-oo,-4)uu(3,oo) (d) none of these

If the function f(x)=2x^2-k x+5 is increasing on [1,\ 2] , then k lies in the interval (a) (-oo,\ 4) (b) (4,\ oo) (c) (-oo,\ 8) (d) (8,\ oo)

If a point (a,2) lies between the lines x-y-1=0 and 2(x-y)-5=0 , then the set of values of a is (A) (-oo,3)uu(9/2,oo) (B) (3,9/2) (C) (-oo,3) (D) (9/2,oo)

If the line 2x-2y+lambda=0 is a secant to the parabola x^2=-8y , then lambda lies in the interval (4,oo) (b) (-oo,4) (c) (0,4) (d) Non eoft h e s e

f(x)=(x-2)|x-3| is monotonically increasing in (a) (-oo,5/2)uu(3,oo) (b) (5/2,oo) (c) (2,oo) (d) (-oo,3)

If two chords drawn from the point A(4,4) to the parabola x^2=4y are bisected by the line y=m x , the interval in which m lies is (a) (-2sqrt(2),2sqrt(2)) (b) (-oo,-sqrt(2))uu(sqrt(2),oo) (c) (-oo,-2sqrt(2)-2)uu(2sqrt(2)-2,oo) (d) none of these

x^2/(r^2-r-6)+y^2/(r^2-6r+5)=1 will represent ellipse if r lies in the interval (a).(- oo ,2) (b). (3, oo ) (c). (5, oo ) (d).(1, oo )

If log_(0.5)(x-2)ltlog_(0.25)(x-2) then x lies is the interval (A) (-3,-2) (B) (2,3) (C) (3,oo) (D) none of these

If (y+3)/(2y+5)=sin^2x+2cosx+1, then the value of y lies in the interval (-oo,-8/3) (b) (-(12)/5,oo) (-8/3,-(12)/5) (d) (-8/3,oo)

RD SHARMA ENGLISH-THE CIRCLE-All Questions

On the joining (1,0)a n d(3,0) be and equilateral triangle is drawn, h...
Text Solution
|
If the point (k+1,k) lies inside the region bound by the curve x=sqrt(...
Text Solution
|
If the point (2,k) lies outside the circles x^2+y^2+x-2y-14=0a n dx^2+...
Text Solution
|
A circle has radius 3u n i t s and its centre lies on the line y=x-1. ...
Text Solution
|
Find the equation of the circle which touches both the axes and the li...
Text Solution
|
A circle of radius 2 lies in the first quadrant and touches both the a...
Text Solution
|
Find the equation of a circle of radius 5 which lies within the circle...
Text Solution
|
Find the equation of the circle whose radius is 5 and which touches th...
Text Solution
|
The circle (x-a)^2+(y-a)^2=a^2 is rolled on the y-axis in the positive...
Text Solution
|
Find the equation of the image of the circle x^2+y^2+8x-16y+64=0 in th...
Text Solution
|
A circle of radius 5u n i t s touches the coordinate axes in the first...
Text Solution
|
Find the equation of a circle which passes through the point (2,0) a...
Text Solution
|
Find the equation of a circle which touches y- axis at a distance of 4...
Text Solution
|
If the circle x^2+y^2+2ax+8y+16=0 touch x-axis , then, t h e val...
Text Solution
|
If the abscissae and the ordinates of two point Aa n dB be the roots o...
Text Solution
|
Find the equation of the circle which passes through the points (2,"""...
Text Solution
|
If 2x^2+lambdax y^+2y^2+(lambda-4)x+6y-5=0, is the equation of a circ...
Text Solution
|
If the equation of a circle is lambdax^2+(2lambda-3)y^2-4x+6y-1=0, th...
Text Solution
|
If the line l x+m y+n=0 touches the circle x^2+y^2=a^2 , then prove th...
Text Solution
|
Find the equation of the circle which passes through the origin and...
Text Solution
|