# Let 'a' and 'b' be non-zero real numbers such that a≠b.Then the equation of the line passing through the origin and the point of intersection of (x/a)+(y/b)=1and (x/b)+(y/a)=1is

1.  ax+by = 0

2.  bx+ay = 0

3.  y-x = 0

4.  x+y = 0

4

y-x = 0

Explanation :
No Explanation available for this question

# The perpendicular distance from (1,2) to the straight line 12x+5y =7,is

1.  15/13

2.  12/13

3.  5/13

4.  7/13

4

15/13

Explanation :
No Explanation available for this question

# The equation of the pair of lines through (1,-1) and perpendicular to the pair of lines x2-xy-2y2=0 is

1.  2x2-xy-y2+5x+y+2=0

2.  2x2-xy-y2-5x-y+2=0

3.  x2-xy-2y2-5x-y-2=0

4.  2x2-xy-y2+5x+y-2=0

4

2x<sup>2</sup>-xy-y<sup>2</sup>-5x-y+2=0

Explanation :
No Explanation available for this question

# The angle between the pair of lines 2(x+2)2+3(x+2)(y+2)-2(y-2)2=0 is

1.  π/4

2.  π/3

3.  π/6

4.  π/2

4

&#960;/2

Explanation :
No Explanation available for this question

# If the pair of lines given by (x2+y2)sin2α=(xcosα-ysinα)2 are perpendicular to each other,then 'α' is equal to

1.  0

2.  π/2

3.  π/3

4.  π/4

4

&#960;/4

Explanation :
No Explanation available for this question

# If a,h,b are in A.P,then the triangular area formed by the pair of lines ax2+2hxy+by2=0 and the line x-y = -2(in square units)is

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# The equation of the line common to the pairs of lines (p2-q2)x2+(q2-r2)xy+)r2-p

1.  x+y = 0

2.  x-y = 0

3.  x+y = pqr

4.  x-y = pqr

4

x-y = 0

Explanation :
No Explanation available for this question

1.  0

2.  1

3.  e

4.  1/e

4

0&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;

Explanation :
No Explanation available for this question

# If f : R → R is continuous such that f(x + y) = f(x) + f(y), ∀x∈R, y∈R, and f(1) = 2 then f(100) =

1.  100

2.  50

3.  0

4.  200

4

200

Explanation :
No Explanation available for this question

1.  2/3

2.  0

3.  1/3

4.  -2/3

4