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The last topic that we have to discuss in this section is that of parallel & perpendicular lines. Following is a sketch of parallel and perpendicular lines.
Suppose that the slope of Line 1 is m1 and the slope of Line 2 is m2. We can relate the slopes of parallel lines & we can relate slopes of perpendicular lines as.
parallel : m1 = m2
perpendicular : m1m2 = -1 or m2= -1/m1
Note down that for perpendicular lines there are two forms of the equation. The second is the morecommon & in this case usually we say that m2 is the negative reciprocal of m1.
Ellipsoid Now here is the general equation of an ellipsoid. X 2 / a 2 + y 2 /b 2 + z 2 /c 2 = 1 Here is a diagram of a typical ellipsoid. If a = b = c afterw
if theta is a positive acute angle and 2sin theta +15cos square theta=7 then find the value of cot theta
the 10 miles assigned to the chess club start at the 10 mile point and go to the 20 mile point when the chess club members have cleaned 5/8 of their 10 mile section between which m
1.If a+b=2b and ab+cd+ad=3bc,prove that a,b,c,d are in A.P 2.The nth term of an A.P is an+b.Find the sum of the series upto n terms.
Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal roots then b = ? Ans: Condition that a quadratic equation ax² + bx + c = 0 has equal roots is: Its discriminant, b² - 4ac = 0 A
help solve these type equations.-4.1x=-4x+4.5
4.2^2x+1 - 9.2^x + 1=0
in the form of linear graph interpret the ralationship between two quantities
Which expression has an answer of 18? Use the order of operations and try every option. The first option results in 14 since 2 . 5 = 10, then 10 + 4 = 14. This does not work. T
Grouped Data For grouped data of a paired population where, f is the
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