# The area (in square units) of the triangle formed by the lines x = 0,y = 0 and 3x + 4y = 12, is

1.  3

2.  4

3.  6

4.  12

4

6

Explanation :
No Explanation available for this question

# If PM is the perpendicular from P (2, 3) onto the line x + y = 3, then the co-ordinates of M are

1.  (2, 1)

2.  (-1,4)

3.  (I, 2)

4.  (4,-1)

4

(I, 2)&nbsp; <br>

Explanation :
No Explanation available for this question

# The equation of the straight line perpendicular to 5x - 2y = 7 and passing through the point of intersection of the lines 2x + 3y = 1 and 3x + 4y = 6, is

1.  2x + 5y + 17 = 0

2.  2x + 5y - 17 = 0

3.  2x - 5y + 17 = 0

4.  2x - 5y = 17

4

2x - 5y + 17 = 0

Explanation :
No Explanation available for this question

# The area of the triangle formed by the pair of straight lines (ax + by)2 - 3(bx - ay)2 = 0 and ax + by + c = 10, is

1.  c2 / (a2 + b2)

2.  c2 / 2(a2 + b2)

3.  c2 / √2(a2 + b2)

4.  csup>2 / √3(a2 + b2)

4

c<sup>2</sup> / 2(a<sup>2</sup> + b<sup>2</sup>)

Explanation :
No Explanation available for this question

# The product of the perpendicular distances from the origin on the pair of straight lines12x2 + 25xy + 12y2 + 10x + 11y + 2 = 0, is

1.  1/25

2.  2/25

3.  3/25

4.  4/25

4

2/25

Explanation :
No Explanation available for this question

# The direction cosines of the line passing through P (2, 3, - 1) and the origin are

1.  2/√14 , 3/ √14, 1/ √14

2.  2/√14 , -3/ √14, 1/ √14

3.  -2/√14 , -3/ √14, 1/ √14

4.  2/√14 ,- 3/ √14, -1/ √14

4

2/&#8730;14 , -3/ &#8730;14, 1/ &#8730;14

Explanation :
No Explanation available for this question

# The point collinear with (1,-2,-3) and (2,0, 0) among the following is

1.   (0,4, 6)

2.  (0,-4,-5)

3.  (0,-4,-6)

4.   (0,-4, 6)

4

(0,-4,-5)

Explanation :
No Explanation available for this question

# The equation of the circle whose diameter is the common chord of the circlesx2 + y2 + 2x + 3y + 2 = 0 and x2 + y2 + 2x-4y-4 = 0

1.  x2 + y2 + 2x + 2y + 2 = 0

2.  x2 + y2 + 2x + 2y-l =0

3.  x2 + y2 + 2x + 2y + l =0

4.  x2 + y2 + 2x + 2y+ 3= 0

4

x<sup>2</sup> + y<sup>2</sup> + 2x + 2y + l =0

Explanation :
No Explanation available for this question

# If x -y+ 1 = 0 meets the circle x2 + y2 + y - 1 = 0 at A and B, then the equation of the circle with AB as diameter is

1.  2 (x2 + y2) + 3x - y + 1=0

2.   2(x2 + y2) + 3x - y + 2 = 0

3.  2(x2 + y2) + 3x-y +3 = 0

4.  x2 + y2 + 3x-y +1 = 0

4

2(x<sup>2</sup> + y<sup>2</sup>) + 3x-y +3 = 0

Explanation :
No Explanation available for this question

1.  3y=x

2.  y=-3x

3.  y=2x

4.  y=-2x

4