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Find the points on the x-axis, whose distances from the `x/3 +y/4 = 1` are 4 units.
Concept: undefined >> undefined
Find the distance between parallel lines:
15x + 8y – 34 = 0 and 15x + 8y + 31 = 0
Concept: undefined >> undefined
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Find the distance between parallel lines l (x + y) + p = 0 and l (x + y) – r = 0
Concept: undefined >> undefined
What are the points on the y-axis whose distance from the line `x/3 + y/4 = 1` is 4 units.
Concept: undefined >> undefined
Find perpendicular distance from the origin to the line joining the points (cosΘ, sin Θ) and (cosΦ, sin Φ).
Concept: undefined >> undefined
Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x– 7y + 5 = 0 and 3x + y = 0.
Concept: undefined >> undefined
Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x – y = 0.
Concept: undefined >> undefined
Find the direction in which a straight line must be drawn through the point (–1, 2) so that its point of intersection with the line x + y = 4 may be at a distance of 3 units from this point.
Concept: undefined >> undefined
If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y – 5 = 0 and 3x – 2y+ 7 = 0 is always 10. Show that P must move on a line.
Concept: undefined >> undefined
A ray of light passing through the point (1, 2) reflects on the x-axis at point A and the reflected ray passes through the point (5, 3). Find the coordinates of A.
Concept: undefined >> undefined
Find `lim_(x -> 5) f(x)`, where f(x) = |x| - 5
Concept: undefined >> undefined
Suppose f(x) = `{(a+bx, x < 1),(4, x = 1),(b-ax, x > 1):}` and if `lim_(x -> 1) f(x) = f(1)` what are possible values of a and b?
Concept: undefined >> undefined
Rewrite the following statement with “if-then” in five different ways conveying the same meaning.
If a natural number is odd, then its square is also odd.
Concept: undefined >> undefined
Write the contrapositive and converse of the following statements.
If x is a prime number, then x is odd
Concept: undefined >> undefined
Write the contrapositive and converse of the following statements.
It the two lines are parallel, then they do not intersect in the same plane.
Concept: undefined >> undefined
Write the contrapositive and converse of the following statements.
Something is cold implies that it has low temperature.
Concept: undefined >> undefined
Write the contrapositive and converse of the following statements.
You cannot comprehend geometry if you do not know how to reason deductively.
Concept: undefined >> undefined
Write the contrapositive and converse of the following statements.
x is an even number implies that x is divisible by 4
Concept: undefined >> undefined
Write each of the following statement in the form “if-then”.
You get a job implies that your credentials are good.
Concept: undefined >> undefined
Write each of the following statement in the form “if-then”.
The Banana trees will bloom if it stays warm for a month.
Concept: undefined >> undefined
