Answer:
CD = 6 cm.
Step-by-step explanation:
In the figure attached AB is the tangent of circle O at point B. A secant through point A intersect the circle at C and D.
mAB = 4cm and mAC = 2cm
We have find the length of CD.
By the theorem of secant and tangent
AB² = AC×AD
Here AC = 2 cm
and AD = AC + CD = (2 + CD)
Now we replace the values in the formula
4² = 2(2 + CD)
16 = 4 + 2.CD
2.CD = 16 - 4 = 12
Therefore CD = 6 cm is the answer.
Answer:
a =
Step-by-step explanation:
To find the value of a, find the Slope of both the equations.
For lines to be perpendicular to each other
For line 1:
2x + 3y − 6 = 0 represent the line in y=mx +c form
3y = -2x + 6
y = +
y = + 2
=
For line 2:
ax - 3y = 5
ax = 5 + 3y
ax - 5 = 3y
y =
=
Apply the condition of perpendicularity:
*
= - 1
a =