Length of Tangent - Basic Quiz

Length of Tangent - Basic Quiz

Dear Readers,

Mathematics is an important subject in SSC,DSSB & Other Exams. .

Q1. The length of tangent from the point (5, 1) to the circle x^2+y^2+6x-4y-3=0, is :

•  81
•  29
•  7
•  21

Solution
7

Q2.Length of the tangent from (x_1,y_1) to the circle x^2+y^2+2gx+2fy+c=0, is :

•  (x_1^2+y_1^2+2gx_1+2fy_1+c)^(1/2):
•  (x_1^2+y_1^2 )^(1/2)
•  [(x_1+g)^2+(y_1+f)^2 ]^(1/2)
•  None of these

Solution
[(x_1+g)^2+(y_1+f)^2 ]^(1/2)

Q3.  The length of the tangent from the point (4, 5) to the circle x^2+y^2+2x-6y=6 is :

•  √13
•  √38
•  2√2
•  2√13

Solution
√13

Q4. The square of the length of the tangent from (3, – 4) on the circle x^2+y^2-4x-6y+3=0 is

•  20
•  30
•  40
•  50

Solution
40

Q5.The length of the tangent from (0, 0) to the circle 14/3,1 is

•  √5
•  √5/2
•  √2
•  √(5/2)

Solution
 √(5/2)

Q6. The length of the tangent to the circle x^2+y^2-2x-y-7=0 from (–1, – 3) is

•  2
•  2√2
• 4
•  8

Solution
2√2

Q7.AAA

•  4
•  2
•  2√2
•  None of these

Solution
2

Q8.Lines are drawn through the point P(-2,-3) to meet the circle x^2+y^2-2x-10y+1=0. The length of the line segment PA, A being the point on the circle where the line meets the circle at coincident points, is

•  16
•  T4√3
•  48
•  None of these

Solution
4√3