For all values of a and b(a + 2b)x + (a- b)y + (a + 5b) = 0 passes through the point:

1.  (-1, 2)

2.  (2, -1)

3.  (-2, 1)

4.  (1, -2)

4

(-2, 1)

Explanation :
No Explanation available for this question

The lines 2x + 3y = 6, 2x + 3y = 8 cut the x-axis at A and B respectively, drawn through the point (2, 2) meets the x-axis as C in such a way that abscissae of A, B and C are in arithmetic progression. Then the equation of the

1.  2x + 3y = 10

2.  8x + 2y = 10

3.  2x - 3y = 10

4.  8x - 2y = 10

4

2x + 3y = 10

Explanation :
No Explanation available for this question

The number of circles that touch all the straight lines x + y = 4, x - y = -2 and y = 2 is:

1.  1

2.  2

3.  3

4.  4

4

4

Explanation :
No Explanation available for this question

The incentre of triangle formed by the lines x+y=1, x=1, y=1 is:

1.  [1-(1/√2), 1-(1/√2)]

2.  [1-(1/√2), (1/√2)]

3.  [1/√2, 1/√2]

4.  [1/√2, 1-(1/√2)]

4

[1/&#8730;2, 1/&#8730;2]

Explanation :
No Explanation available for this question

The orthocentre of triangle formed by the lines x + 3y = 10 and 6x2 + xy - y2 = 0 is:

1.  (1, 3)

2.  (3, 1)

3.  (-1, 3)

4.  (1, -3)

4

(1, 3)

Explanation :
No Explanation available for this question

If one of the lines of pair of straight lines ax2+2hxy+by2=0 bisects the angle between the co-ordinate axes, then:

1.  a2+b2 = h2

2.  (a+b)2 = 4h2

3.  a2+b2 = 4h2

4.  (a+b)2 = h2

4

(a+b)<sup>2</sup> = 4h<sup>2</sup>

Explanation :
No Explanation available for this question

If the slope of one line is twice the slope of other in the pair of straight lines ax2 + 2hxy + by2 = 0, then 8h2 is equal to:

1.  -9ab

2.  9ab

3.  -7ab

4.  7ab

4

9ab

Explanation :
No Explanation available for this question

If the extremities of diagonal of a square (1, -2, 3), (2, -3, 5), then the length of its side, is:

1.  √6

2.  √3

3.  √5

4.  √7

4

&#8730;3

Explanation :
No Explanation available for this question

The foot of the perpendicular from (0, 2, 3) to the line (x+3)/5 = (y-1)/2 = (z+4)/3 is:

1.  (-2, 3, 4)

2.  (2, -1, 3)

3.  (2, 3, -1)

4.  (3, 2, -1)

4

(2, 3, -1)

Explanation :
No Explanation available for this question

1.  a < b < c

2.  a > b > c

3.  b< a < c

4.  a < c < b

4