`( 1 , sqrt3/2)`
`(2/3 , 1/sqrt3)`
`(2/3 , sqrt3/2)`
`(1 , 1/sqrt3)`
`27/4` sq units
`27/2` sq units
`19/4` sq units
`19/2`sq units
`(3, 6)`
`(3/2 , 6)`
`(3, 3)`
`(3/2 , 9)`
`25`
`30`
`36`
`40`
`(7/2 , 4)`
`(3 , 4)`
`(7/2 , 5)`
`(3 , 5)`
`12` sq units
`15` sq units
`20` sq units
`30` sq units
`(0, 2 sqrt3 )` only
`(3, -sqrt3 )` only
`(0,2sqrt3 )` or `( 3 , -sqrt3)`
Neither `(0,2sqrt3 )` nor `(3, -sqrt3)`
`2 x + 4 y -11 =0`
`2x -4 y - 5 =0`
`2x - 4 y -11 =0`
`x -y +1 =0`
`| a | < 2 `
`| a | < sqrt2`
`|a | < 1`
` |a | < 1/sqrt2`
1 and 2 only
2 and 3 only
1 and 3 only
1 , 2 and 3
`y + 1 = 0`
`y- 1 = 0`
`y- 2 = 0`
`y + 2 = 0`
`x + 1 = 0`
`x -1 = 0`
`x- 2 = 0`
`x + 2 = 0`
2
3
4
5
`a + b + c = 0`
`a + b + c =` unit vector
`a + b + c `
`a = b + c`
`30^0`
`45^0`
`60^0`
`75^0`
`(-2, -2)`
`(2, 2)`
`(-2, 2)`
`( 2, -2)`
` ( 1/3 ,1)`
` ( 1/3 , 2)`
` ( 1 ,2/3)`
` ( 1/2 , 3)`
`( 1, 4)`
`( -1, 3)`
`( -2, 4)`
`( -1, 4)`
` c^2/(ab)`
` (2c^2)/(ab)`
` c^2/(2ab)`
` c^2/(4ab)`
`x + 5y pm 5 sqrt(2) = 0`
`x - 5y pm 5 sqrt(2) = 0`
`5x + y pm 5 sqrt(2) = 0`
`5x - y pm 5 sqrt(2) = 0`
` 3/4 `
`4/3`
`1/3`
`3`
`3/2` units
`3/(10)` units
`3/4` units
`2/7` units
the sides of an isosceles triangle
concurrent
mutually perpendicular
the sides of an equilateral triangle
`(2, 3)`
`(3, 3)`
`(4, 3)`
None of these
`x + sqrt(3) y = 5`
`sqrt(3) y + y =10`
`sqrt(3) x - y =10`
None of these
`x- y =0`
`x + y =0`
`x = 0`
`y = 0`
25
16
9
8
`7x + y - 21 = 0`
`x + 7y + 21 = 0`
`2x + y - 8 = 0`
`x + 2y + 8 = 0`
`sqrt(47)` unit
` 7` unit
`sqrt(53)` unit
` 8` unit
`4 OP`
`2 OP`
`OP`
Null vector
Only 1
Only 2
1 and 2
1, 2 and 3
`2x - y = 4`
`2x - y + 4 = 0`
`2x + y = 4`
`2x + y + 4 = 0`
`x + y = 7`
`3x + 4y = 7`
`x- y = 1`
None of these
`3x - 4y - 9 = 0`
`3x - 4y + 9 = 0`
`3x - 4y - 3 = 0`
`3x - 4y + 3 = 0`
`1/sqrt(2)` unit
`1` unit
`3/sqrt(2)` units
`2` units
`(3, b)`
`(0, b)`
`(4, b)`
`(5, b)`
`4x- 3y- 31 = 0`
`3x- 4y- 41 = 0`
`4x + 3y- 1 = 0`
`3x + 4y + 8 = 0`
`1/2`
`2`
`-2`
`-1/2`
straight line
parabola
ellipse
hyperbola
`Y=2x`
`x=2y`
`y = pm x`
`2y +x = 0`
`pi/6`
`pi/4`
`pi/2`
`(3 pi)/4`
`5x-2y= 4`
`-4x + 7 y = 9`
`x+ y= 3`
`x-y = -1`
`pi/6`
`pi/4`
`pi/3`
`pi/2`
`(1,1)`
`(2,-1)`
`(1,-1)`
`(1,2)`
`nx + my= mn`
`mx + ny = 1`
`mx + ny = mn`
`mx- ny = 1 `
`4x + 3y =24`
`x+ y = 7`
`4x- 3y= 0`
`3x + 4y=25`
`4x + 3y =24`
`x+ y = 7`
`4x- 3y= 0`
`3x + 4y=25`
`4x + 3y =24`
`x+ y = 7`
`4x- 3y= 0`
`3x + 4y=25`
`(1,1)`
`(2,2)`
`(-2,-2)`
`(3,3)`
`6` sq units
`7.5` sq units
`9` sq units
`12` sq units
`sqrt(17)/2`
`sqrt (17/2)`
`15/sqrt(34)`
`17/2`
`30^(circ)`
`60^(circ)`
`135^(circ)`
`150^(circ)`
cross each other at one point
not cross each other
cross each other at two points
cross each other at infinitely many points
1 sq unit
2 sq units
4 sq units
8 sq units
collinear
vertices of right angled triangle
vertices of equilateral triangle
vertices of an isosceles triangle
a straight line
a pair of points
a point
the null set
`2x + 4y + 3 = 0`
`4x + 2y + 3 = 0`
`2x + 4y- 3 = 0`
`4x + 2y- 3 = 0`
collinear
vertices of right angled triangle
vertices of equilateral triangle
vertices of an isosceles triangle
`7/3` units
`8/3` units
`10/3` units
`11/3` units
`p`
`q`
`r`
`s`
`p =q`
`3p =4q`
`4p =3q`
`p+q =5`
`3`
`-6`
`4`
`-3`
`3:4`
`4:5`
`5:7`
`7:9`
`10x + 101y = 1`
`101x + y = 1`
`x + y- 101 = 0`
`x- y + 101 = 0`
`6`
`5`
`-3`
`1`
`y = x + 1`
`x = y + 1`
`2x = y + 2`
None of these
`0`
`3` units
`9` units
`18` units
`7 + 3 sqrt (2)`
`10+5 sqrt(2)`
`11 + 6 sqrt(2)`
`5+ sqrt (2)`
`a/b`
`a+b`
`ab`
`a-b`
zero
positive but not `pi / 4`
negative but not `pi/4`
`pi/4`
`x`
`y`
`|x|`
`|y|`
`2`
`-1`
`1`
`0`
`x=5`
`x= -5`
`y = 5`
`y=-5`
`(2,9)`
`(5,6)`
`(-5, 6)`
`(6,5)`
`p = 0, q = 4`
`p = 4, q = 0`
`P= 3/2,q = 0`
`P= 1,q = 0`
`1/p^2 = 1/a^2 + 1/b^2`
`1/p^2 =1/a^2 -1/b^2`
`1/p = 1/a + 1/b`
`1/p= 1/a -1/b`
`x pm y = 0`
`x+ 2y =0`
`2x + y =0`
None of these
`x+y =1`
`x-y = 1`
`3y = 4x`
`x =y`
`x^2 + a^2 = b^2 + y^2`
`x^2 + a^2 = 2b^2 -y^2`
`x^2 -a^2 = b^2 +y^2`
`x^2 + a^2 = b^2- y^2`
`1`
`3`
`1/2`
`1/3`
`y= -3`
`y =2`
`x=2`
`x= -3`
`y= -3`
`y =2`
`x=2`
`x= -3`
`X= 8`
`Y=8`
`X= - 8`
`Y = -8`
never intersect
intersect at a single point
intersect at infinite number of points
intersect at more than one points (but finite number of points)
`2`
`1`
`0`
`-1`
`x+y =0`
`x+y +1= 0`
`x-y = 0`
`x+y +2 =0`
`1`
`2`
`1/2`
`-1/2`
`1`
`2`
`1/2`
`-1/2`
`1`
`2`
`1/2`
`-1/2`
`1`
`2`
`1/2`
`-1/2`
Circle
Ellipse
Hyperbola
Parabola
`3/4`
`-3/4`
`-4/3`
`4/3`
`3`
`6`
`9`
`12`
Pair of straight lines
An ellipse
A hyperbola
A parabola
`(-7/5, -6/5)`
`(7/8 ,1/2)`
`(7/8, -1/2)`
`(-7/5 , 1/2)`
`1`
`3`
`6`
`0`
`8x + 5y + 20 = 0`
`5x + 8y- 7 = 0`
`8x - 5y + 60 = 0`
`5x- 8y+ 57= 0`
`a^2`
`b^2`
`ab`
`a/b`
`[(s^2 +r^2)^(1/2)]/2`
`[ (s^2 +r^2)^(1/2)]/4`
`(s^2 +r^2)^(1/2)`
`s+r`
`mx = ny`
`nx =-my`
`nx =my`
`mx=-ny`
`c/2`
`c^2`
`2c^2`
`c^2/2`
`pi/6`
`pi/4`
`pi/2`
`pi/3`
`(1,10)`
`(5,6)`
`(6,5)`
`(7,4)`
Only I
Only II
Both I and II
Neither I nor II
rhombus
rectangle
parallelogram
square
A pair of straight lines only
A pair of straight lines and a circle
A rectangular hyperbola only
A rectangular hyperbola and a circle
`sqrt(2)`
`sqrt(3)`
`sqrt(5)`
`sqrt(7)`
`lambda > mu`
`lambda < mu`
`lambda > -mu`
`lambda = mu`
`bx - ay = 0`
`bx + ay = 0`
`-ax+ by= 0`
`ax+ by= 0`
`(1,-3)`
`(2,4)`
`(1,1)`
`(0,0)`
`x_1^2 + x_2^2`
`y_1^2 + y_2^2`
`x_1y_1 +x_2y_2`
`x_1y_1 - x_2y_2`
`x_1^2 + x_2^2`
`y_1^2 + y_2^2`
`x_1y_1 + x_2y_2`
`x_1y_1 - x_2y_2`
`x_1^2 + x_2^2`
`y_1^2 + y_2^2`
`x_1x_2 + y_1 y_2`
`x_1y_1 +x_2y_2`
`bc - ad = 0`
`ab - cd = 0`
`bc + ad = 0`
`ab + cd = 0`
`(3,7)`
`(2,4)`
`(-1/2,5/2)`
`(7,-2)`
`a, b` and `c` are in arithmetic progression for all `m`
`a, b` and `c` are in geometric progression for all `m`
`a, b` and `c` are in harmonic progression for all `m`
`a, b` and `c` are in arithmetic progression only for `m= 1`
`(7,3)`
`(4,1)`
`(1,-1)`
`(-2,-3)`
`45^(circ)`
`tan^(-1) (A/(sqrt (A^2 +B^2) ))`
`tan^(-1) (B/(sqrt (A^2 +B^2`) ))`
`60^(circ)`
`1/p`
`p`
`1/2`
`sqrt(3) /2`
`2:3`
`3:2`
`3:-2`
`1:2`
Square
Rhombus
Rectangle (but not square)
Trapezium
`30^(circ)`
`45^(circ)`
`60^(circ)`
`90^(circ)`
`|a| = |b |`
`|a| = |c|`
`|b| =|c|`
None of these