# The slope m of a tangent through the point (7, 1) to the circle x2 + y2 =25 satisfies the equation

1.  9m2 + 24m +16 =0

2.  12m2 – 7m – 12=0

3.  16m2 -24m +9=0

4.  12m2 + 7m – 12=0

4

12m2 – 7m – 12=0

Explanation :
No Explanation available for this question

# The equation of the incircle of triangle formed by x = 0, y=0 and x/3 + y/4=1 is

1.  x2 + y2– 4x – 4y + 4=0

2.  x2+ y2– 2x – 2y =0

3.  x2 + y2– 2x – 2y + 1=0

4.  x2 + y2– 4x – 4y =0

4

x2 + y2– 2x – 2y + 1=0

Explanation :
No Explanation available for this question

# If the lines x +ky+3=0 and 2x-5y+7=0 intersect the coordinate axes in concyclic points then k=

1.  -5/3

2.  3/2

3.  -3/5

4.  -2/5

4

-2/5

Explanation :
No Explanation available for this question

# If three lines are not concurrent and no two of them are parallel, number of circles drawn touching all the three lines

1.  1

2.  4

3.  3

4.  Infinite

4

4

Explanation :
No Explanation available for this question

# The circle x2 + y2 -2x + 5y-24=0 cuts the X-axis at A and B and Y-axis at C and D then AB+CD=

1.  2√5

2.  12

3.  21

4.  4√5

4

21

Explanation :
No Explanation available for this question

# The locus of the middle points of the chords of the circle x2 + y2 = a2 substending an angle α at the centre is:

1.  x2 + y2 =a cos α/2

2.  x2 + y2 = a2 cos α/2

3.  x2 + y2 = a2 cos2 α/2

4.  x2 + y2 = cos2 α/2

4

x2 + y2 = a2 cos2 α/2

Explanation :
No Explanation available for this question

# If 1,1,α are the roots of x3-6x2+9x-4=0,then α=

1.  -4

2.  4

3.  -6

4.  6

4

4

Explanation :
No Explanation available for this question

# If the line x – 7y – 8=0 intersects the circle x2 + y2 – 8x – 6y=0 at A,B anf O=(0, 0) then the area of the ΔOAB is:

1.  4

2.  2

3.  1

4.  8

4

4

Explanation :
No Explanation available for this question

# If the length of a chord of the circle x2 + y2=a2is 2K then the locus of the midpoint of that chord is a circle of radius

1.  √(a2-k2 )

2.  √(a2+k2)

3.  √(k2-a2)

4.  a2 – k2

4

√(a2-k2 )

Explanation :
No Explanation available for this question

1.  4

2.  3

3.  2

4.  1

4