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The area of the triangle with vertices (a, b+c), (b, c+a), (c, a+b) is

0

a+b+c

ab+bc+ca

a²+b²+c²

A line passing trough (2,2) is perpendicular to the line 3x+y=3. its y intercept is

1/3

2/3

1

4/3

If the sum of the distances of a point from two perpendicular lines in a plane is 1, then the locus is

square

circle

straight line

two intersecting lines

If the line 6x-y+2+k(2x+3y+13)=0 is parallel to the x-axis, then k=?

-1/3

1/3

-3

3

The nearest point on the line 3x-4y=25 from the origin is

(-4,5)

(3,-4)

(3,4)

(3,5)

The image of the piont (-1,3) by the line x-y=0 is

(3,-1)

(1,-3)

(-1,-1)

(3,3)

If the lines 3y+4x=1, y=x+5 & 5y+bx=3 are concurrent, the value of b=?

1

3

6

0

If x/c+y/d=1 be any line through the intersection of lines x/a+y/b=1 & x/b+y/a=1, then

1/a+1/d=1/b+1/c

1/b+1/d=1/c+1/a

1/c+1/d=1/a+1/b

N.O.T

If 2a+3b+6c=0, then the family of straight lines ax+by+c=0 passes through a fixed point whose co=ordinates are:

(2,3)

(3,2)

(1/2,1/3)

(1/3,1/2)

The area of a triangle is 5 and two of its vertices are A(2,1) & B(3,-2). The third vertex which lies on the line y=x+3 is:

(-3/2,3/2)

(5/2,11/2)

(7/4,13/2)

(0,0)

(7/2,13/4)

The eqn of the lines joining the origin to the points of trisection of the portion of the line 3x+y=12 intercepted b/w the axes are:

y=x/2 & y=x

y=x & y=-x

y=3/2 & y=6x

N.O.T

The orthocentre, circumcentre, centroid, & incentre of the triangle formed by the lines x=0, y=0 & x+y=a lie on:

y=x

y=2x

y=3x

y=x/2

The area of the quadilateral whose sides are given by |x|+|y|=1 is:

1 sq units

2 sq units

4 sp units

N.O.T

The eqn of the base of an equilateral triangle is x+y-2=0 and one vertex is (2,-1). Then the length of the side of the triangle is:

sqrt(1/2)

rt(3/2)

rt(2/3)

rt(2)

The orthocentre of the triangle formed by the lines x=2, y=3, 3x+2y=6 is at the point:

(2,0)

(0,3)

(2,3)

N.O.T

0

a+b+c

ab+bc+ca

a²+b²+c²

A line passing trough (2,2) is perpendicular to the line 3x+y=3. its y intercept is

1/3

2/3

1

4/3

If the sum of the distances of a point from two perpendicular lines in a plane is 1, then the locus is

square

circle

straight line

two intersecting lines

If the line 6x-y+2+k(2x+3y+13)=0 is parallel to the x-axis, then k=?

-1/3

1/3

-3

3

The nearest point on the line 3x-4y=25 from the origin is

(-4,5)

(3,-4)

(3,4)

(3,5)

The image of the piont (-1,3) by the line x-y=0 is

(3,-1)

(1,-3)

(-1,-1)

(3,3)

If the lines 3y+4x=1, y=x+5 & 5y+bx=3 are concurrent, the value of b=?

1

3

6

0

If x/c+y/d=1 be any line through the intersection of lines x/a+y/b=1 & x/b+y/a=1, then

1/a+1/d=1/b+1/c

1/b+1/d=1/c+1/a

1/c+1/d=1/a+1/b

N.O.T

If 2a+3b+6c=0, then the family of straight lines ax+by+c=0 passes through a fixed point whose co=ordinates are:

(2,3)

(3,2)

(1/2,1/3)

(1/3,1/2)

The area of a triangle is 5 and two of its vertices are A(2,1) & B(3,-2). The third vertex which lies on the line y=x+3 is:

(-3/2,3/2)

(5/2,11/2)

(7/4,13/2)

(0,0)

(7/2,13/4)

The eqn of the lines joining the origin to the points of trisection of the portion of the line 3x+y=12 intercepted b/w the axes are:

y=x/2 & y=x

y=x & y=-x

y=3/2 & y=6x

N.O.T

The orthocentre, circumcentre, centroid, & incentre of the triangle formed by the lines x=0, y=0 & x+y=a lie on:

y=x

y=2x

y=3x

y=x/2

The area of the quadilateral whose sides are given by |x|+|y|=1 is:

1 sq units

2 sq units

4 sp units

N.O.T

The eqn of the base of an equilateral triangle is x+y-2=0 and one vertex is (2,-1). Then the length of the side of the triangle is:

sqrt(1/2)

rt(3/2)

rt(2/3)

rt(2)

The orthocentre of the triangle formed by the lines x=2, y=3, 3x+2y=6 is at the point:

(2,0)

(0,3)

(2,3)

N.O.T

An assignment on [co-ordinate geometry] straight lines

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