# The value of k such that the straight line 3x+14y+7+k (5x+7y+6) =0 is perpendicular to x-axis is

1.  21/5

2.  1/3

3.  5/3

4.  -2

4

-2

Explanation :
No Explanation available for this question

# The value of k such that the straight line 2x+3y+4+k (6x-y+12) =0 is perpendicular to the line7x+5y=c

1.  29/37

2.  -29/37

3.  -27/37

4.  -28/37

4

-29/37

Explanation :
No Explanation available for this question

# The lines p (p2+1)x-y+q=0 and (p2+1)2x+( p2+1)y+2q=0 are perpendicular to a common line for

1.  Exactly one value of p

2.  Exactly two values of p

3.  More than two values of p

4.   No value of p

4

Exactly one value of p

Explanation :
No Explanation available for this question

# If the straight line a(x+y-1)+b(2x-3y+1)=0 for different values of a and b are parallel to y- axis then the realization ship between  a& b is

1.  b=3a

2.  a=3b

3.  a+3b=0

4.  b+3a=0

4

a=3b

Explanation :
No Explanation available for this question

# The diagonals of the parallelogram formed by the lines a1x+b1y+c1=0, a1x+b1y+c3=0, a2x+b2y+c2=0, a2x+b2y+c

1.

2.

3.

4.  None

4

None

Explanation :
No Explanation available for this question

# The diagonals of the parallelogram whose sides are lx+my+n=0, lx+my+n=0, mx+ly+n=0, mx+ly+n=0 include an angle

1.  π/3

2.  π/2

3.  tan-1(l2-m2/ l2+m2)

4.  tan-1(l2-m2/ l2+m2)

4

π/2

Explanation :
No Explanation available for this question

# The angle between the diagonals of the parallelogram formed by the lines x/a+y/b=1, x/b+y/a=1, x/a+y/b=2, x/b+y/a=2 is

1.  π/6

2.  π/4

3.  π/3

4.  π/2

4

π/2

Explanation :
No Explanation available for this question

# The angles of the triangle formed by the lines 5x+3y-15=0, x+y-4=0, 2x+y-6=0 is

1.  cos-1(4/√17), cos-1(13/√170), π+ cos-1(3/√10)

2.  cos-1(4/√17), cos-1(13/√170), π- cos-1(3/√10)

3.  cos-1(2/√5), π/2,-π/2- cos-1(2/√5)

4.   cos-1(2/√5), π/2,-π/2+cos-1(2/√5)

4

cos-1(4/√17), cos-1(13/√170), π- cos-1(3/√10)

Explanation :
No Explanation available for this question

# The lines (a+b) x+(a-b)y=2ab, (a-b)x+(a+b)y=2ab,x+y=0 form an isosceles triangle whose vertical angle is

1.  0

2.   π/4

3.  tan-1(a/b)

4.  2 tan-1(b/a)

4

2 tan-1(b/a)

Explanation :
No Explanation available for this question

# The lines (a-b)x+(b-c)y+(c-a)=0, (b-c)x+(c-a)y+(a-b)=0, (c-a)x+(a-b)y+(b-c)=0

1.  Form an equilateral triangle

2.  are concurrent

3.  Form an isosceles triangle

4.  Right angled triangle

4

are concurrent

Explanation :
No Explanation available for this question

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