9.8x10^6 In standard form
2 answers:
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Answer:
Q2. (16,8)
Q3. , ratio=5:1
Q4. Ratio=2:1
Q5. Ratio=1:1
Step-by-step explanation:
Q2. Let (2a,a) be the coordinates of P.
Since P is equidistant from Q (2,-5) and R (-3, 6), we have
This gives us:
Expand:
The coordinates of P are
Q.3 The equation of the line segment joining the points
A (5.-6) and B (-1,-4) is .
The x-coordinate of the point that divides AB in the ratio m:n is
The y-axis meets this line at
We substitute into this equation and solve for m and n.
Therefore the ratio is m:n=5:1
Q.4 The equation of the line segment joining
the points (-5,-4) and (-2,3) is .
The point (-3, k) must satisfy this line because it lies on it.
.
We again use the equation to find the given ratio.
Substitute:
The ratio is m:n=2:1
Q. 5 The equation of the line joining A (2,3) and B(6,-3) is .
We substitute (4,m) to get:
12+4m=12
4m=0
m=0
It is obvious that: (4,0) is the midpoint of A(2,3) and B(6,-3).
Hence the ratio is 1:1