touch each other externally
touch each other internally
cuts each other at two points
None o' the above
0
1
3
4
0
1
2
None o' the these
Only I
Only II
Both I and II
None o' the above
`y - x = 1`
`x- y = 1`
`x+ y -1 = 0`
`x+ y = 1`
`30^o`
`45^o`
`60^o`
`90^o`
`y - x = 1`
`x- y = 1`
`x+ y -1 = 0`
`x+ y = 1`
2
1
3
4
2
`sqrt 29`
`sqrt 41`
`5`
`r_1 > r_2`
`r_1 < r_2`
`r_1 = r_2`
`r_2 > r_1`
`x^2 + y^2 = a^2`
`x^2 + y^2 + a^2 = 0`
`x^2 + y^2 + 2x + 2y = a^2`
`x^2 + y^2 -2x -2y = a^2`
0
1
2
3
`x^2 + y^2 - 6x + 12y -15 = 0`
`x^2 + y^2 -6x + 12y+ 40= 0`
`x^2 + y^2 - 6x + 12y+ 45= 0`
None ot the above
`2y + 3x + 3 = 0`
`3y + 2x + 7 = 0`
`x + y - 3 = 0`
`x - y + 9 = 0`
`x^2 + (y- 3)^2 = 0`
`x^2 + 4x + (y+3)^2 = 0`
`x^2 + 8x +(y-3)^2 =6`
`(x+4)^2 + (y- 3)^2 =16`
`7/2`
`4`
`sqrt 13`
`sqrt 15`
I,II
I, III
II, III
I,II, III
Only I
Only II
Both I and II
Neither I nor II
Only I
Only II
Both I and II
None ot these
`(1+ sqrt 2 , -2 )`
`(1- sqrt 2 , -2 )`
`(1 , -2 + sqrt 2)`
None of the above
`x^2 + y^2 - 4x + 4y + 4= 0`
`x^2 + y^2 - 4x- 4y + 4 = 0`
`x^2 + y^2 + 4x- 4y- 4 = 0`
`x^2 + y^2 + 4x + 4y- 4 = 0`
` 2 R sin ( theta/2)`
`2R sin theta`
`2 R tan ( theta/2)`
`2 R tan theta`
`alpha = pm 2 sqrt 2 , beta = pm 2 sqrt 2`
`alpha = pm sqrt 2 , beta = pm sqrt 2`
`alpha = 0, beta = 0`
`alpha = 2, beta = 2`
`c > 0 `
`c < 0 `
`c = 0 `
`c le 0`
x=1
x+y =6
x+y =2a
x= 0
`x^2 + y^2 - 3x + 4y - 1 = 0`
`x^2 + y^2 - 3x + 4y = 0`
`x^2 + y^2 - 3x + 4y + 2 = 0`
None of these
`10 `
`2 sqrt 5`
`6`
`4`
`x^2 + y^2 + 2x - 2y = 62`
`x^2 + y^2 + 2x- 2y = 47`
`x^2 + y^2 -2x + 2y= 47`
`x^2 + y2 -2x + 2y = 62`
`r`
`r sqrt 2`
`1/2 r`
`sqrt 2`
`x^2 + y^2 + 6x + 2y + 9 = 0`
`x^2 + y^2 + 10 x + 20y + 25 = 0`
`x^2 + y^2 + 6x + 4y + 9 = 0`
None of the above
`x^2 + y^2 + 4x + 4y- 5 = 0`
`x^2 + y^2 - 4x- 4y- 5 = 0`
`x^2 + y^2 -4x = 13`
`x^2 + y^2 -4x-4y + 5 = 0`
a = b and c = 0
f = g and h = 0
a=b band h = 0
f = g and c = 0
One circle lies inside the other
One circle lies completely outside the other
Two circle intersect in two points
They touch each other externally
`4 sqrt 3` m
`5 sqrt 3` m
`5 sqrt 2` m
`6` m
`{-2,2}`
`{-3,3}`
`{-4,4}`
`{-5,5}`
`1.9`
`0.95`
`2.9`
`1.45`
` y = 3/sqrt7 x + (15)/sqrt7`
` y = 3 sqrt(2/7) x + (15)/sqrt7`
` y = 2 sqrt(3/7)x + 15 sqrt(17)`
None of these
these circles touch each other
one of these circles lies entirely inside the other
each of these circles lies outside the other
they intersect in two points
internally
externally
Do not say anything
None of these
`x^2 + y^2 - 4x - 4y + 7 = 0`
`x^2 + y^2 + 4x + 4y + 7 = 0`
`x^2 + y^2 - 4x - 4y - 7 = 0`
None of the above
`11`
`-11`
`24`
`100`
`(-7, 5)`
`(-7,- 5)`
`(7, - 5)`
`(7, 5)`
`3`
`4`
`2`
`1`
`(a_1^2+ a_2^2) + (b_1^2 + b_2^2) = r_1^2+r_2^2`
`(a_1^2-a_2^2)+(b_1^2-b_2^2)=r_1^2-r_1^2`
`(a_1^2-b_2)^2+(a_2^2+b_2^2)=r_1^2+r_2^2`
`(a_1^2-b_1^2)+(a_1^2+b_2^2)=r_1+r_2^2`
`3x+4y=15`
`3x+4y=45`
`3x +4y =9`
`3x +4y =27`
`x^2 + y^2 = 1/4`
`x^2 + y^2 =1/2`
`xy =0`
`x^2 - y^2 =0`
`tan^(-1) 3`
`tan^(-1) (3)`
`tan^(-1) sqrt 3`
`tan^(-1) (1//sqrt 3)`
`c=-5`
`fg=147//25`
`g + 2f= c + 2`
`4f = 3g`
`pi/6`
`pi/4`
`pi/3`
`pi/2`
the straight line `y -3/2 = -3(x+1/2)`
a circle with centre `(-1/2 , 3/2)` and radius `1/sqrt2`
a parabola with focus `(1, 2)` and directrix passing through `(-2, 1)`
an ellipse with foci `(1, 2)` and `(-2, 1)`
`5/2`
`5/sqrt2`
`5`
`10`
circle
pair of non-perpendicular intersecting straight lines
pair of perpendicular straight lines
hyperbola
`(2, 1)`
`(2, 4)`
`(2, - 4)`
`(-4, 2)`
(This question may have multiple correct answers)
` 2` or ` - 3/2`
` -2` or ` - 3/2`
` 2` or ` 3/2`
`- 2` or ` 3/2`
`k < 0`
`0 < k < 1`
`k = 1`
`k > 1`
`x^2 + y^2 = 1/2`
`x^2 + y^2 = 1`
`x^2 + y^2 = 2`
`x^2 + y^2 = 5/2`
`3:1`
`5 : 1`
`7 : 1`
`9 : 1`
`l in (0,8)`
`l in (-8,0)`
`l in (-8,8)`
`l in (-4 sqrt2, 4sqrt2)`
`6`
`\sqrt{14}`
`2\sqrt{14}`
`3`
`11`
`13`
`17`
`23`
`7`
`49`
`63`
`21`
`81`
`29`
`7`
`21`
`x' y - xy' - 0`
`x x' - yy' = 0`
`x' y + xy' = 0`
`x x' + yy' = 0`
`y^2 + 6x = 0`
`y^2 + 6x = 13`
`y^2 + 6x = 10`
`y^2 + 6y = 13`
`3x^2 + 3y^2 - 8x - 13y = 0`
`3x^2 + 3y^2 - 8x + 29y = 0`
`3x^2 + 3y^2 + 8x + 29y = 0`
`3x^2 + 3y^2 - 8x - 29y = 0`
`(2, 1)`
`(1, 1)`
`(0, 1)`
None of these
`47`
`-47`
`49`
`-49`
`sqrt26`
`sqrt13`
`sqrt23`
`0`
`(3 ,3)`
`(2, -1)`
`(-2, 1)`
`(-1, 2)`
`c = 10`
`c^2 = 80`
`c = 12`
`c^2 = 64`
straight line
Circle
parabola
ellipse
`(- 1, - 2)`
`(1,2)`
`(1, - 2)`
`(- 1,2)`
`2x-3y-13 =0`
`2x+3y +13 =0`
`2x-3y+13 =0`
`3x-2y+13 =0`
`6x-y =0`
`3x+2y =0`
`x+3y =0`
`3x-y =0`
`11`
`4/5 sqrt 21`
`sqrt(17/3)`
None of these
`3`
`-5`
`-1`
`5`
`(6, 7)`
`(- 6, 7)`
`(6, -7)`
`(- 6, -7)`
` x = - m/2 + m/sqrt2 cos theta , y = m/2 + m/sqrt(2) sin theta`
` x = - m/2 + m/sqrt2 cos theta , y = - m/2 + m/sqrt(2) sin theta`
` x = 0, y = 0`
None of the above
`A -B = phi`
`B -A = phi`
`A nn B ne phi`
`A nn B = phi`