# The sides of triangle are 3x+2y-6=0, 2x-3y+6=0, x+2y+2=0. P(0, b) is a point on y-axis. If P lies on the triangle or inside the triangle then the range of b is

1.  [-1, 3]

2.  [2, 3]

3.  [-1, 2]

4.  [-2, 2]

4

[-1, 2]

Explanation :
No Explanation available for this question

# A straight line through the point (2, 2) intersects the lines √3x-y=0 at the points A and B. the equation to the line AB so that the triangle OAB is equilateral is

1.  x-2=0

2.  y-2=0

3.  x+y-4=0

4.  none

4

y-2=0

Explanation :
No Explanation available for this question

# A straight line L perpendicular to the line 5x-y=1. The area of the triangle formed by the line L coordinate axes is 5. The equation of the line L is

1.  x+5y= ±5√2

2.  x+5y= ±2√5

3.  5x-y= ±5√2

4.  5x-y= ±2√5

4

x+5y= ±5√2

Explanation :
No Explanation available for this question

# Each side of a square is of length 4. The centre of the square is (3, 7) and one of its diagonals is parallel to y=x. then the coordinates of its vertices are

1.  (1, 5), (1, 9), (5, 9), (5, 5)

2.  (2, 5), (2, 7), (4, 7), (4, 4)

3.  (2, 5), (2, 6), (3, 5), (3, 6)

4.   none

4

(1, 5), (1, 9), (5, 9), (5, 5)

Explanation :
No Explanation available for this question

# A(-1, 1) B(5, 3) are opposite vertices of a square. The equation of the other diagonal (not passing through A, B) of the square is

1.  2x-3y+4=0

2.  2x-y+3=0

3.  y-3x-8=0

4.  x+2y-1=0

4

y-3x-8=0

Explanation :
No Explanation available for this question

# If (-4, 5) is one vertex and 7x-y+8=0 is one diagonal of square, then the equation f the second diagonal is

1.  x+7y-31=0

2.  x+7y-15=0

3.  x+7y8=0

4.  7 x-y-31=0

4

x+7y-31=0

Explanation :
No Explanation available for this question

# If A(1, 1), B(√3+1, 2) and C(√3, √3+2) be three vertices of a square, then the diagonal through B is

1.  y=(√3-2)x+(3-√3)

2.  y=0

3.  y=x

4.  y=(√3-2)x+√3+1

4

y=(√3-2)x+√3+1

Explanation :
No Explanation available for this question

# In a rhombus ABCD the diagonals AC and BD interacts at the point (3, 4). If the point A is (1, 2) the diagonal BD has the equation

1.  x-y-1=0

2.  x+y-1=0

3.  x-y+1=0

4.  x+y-7=0

4

x+y-7=0

Explanation :
No Explanation available for this question

# Points A(1, 3) and C(5, 1) are opposite vertices of a rectangle ABCD. If the slope of BD is 2, then its equation is

1.  2x-y=4

2.  2x+y=4

3.  2x+y-7=0

4.  2x+y+7=0

4

2x-y=4

Explanation :
No Explanation available for this question

1.  18

2.  -3

3.  1/2

4.  -1/3

4