Is there anything special about the relationship between the lines Ax + By = C1 and Bx - Ay = C2 (A ≠ 0, B ≠ 0)? Give reasons for your answer.

Q: A line passing through (0, –3) and is perpendicular to y =;x – 4. х —

A: The given line passing through the point 0,-3 and it perpendicular to the line y=52x-4. Calculation:…

Q: Find an equation of the line that satisfies the given conditions. Through  (1, −1);   parallel to…

A:

Q: Which of the following lines is perpendicular to the line   y  =  1/2x + 1   and contains the…

A: Consider the given line y=12x+1                                … 1

Q: prove that the equation 2x²+3xy-2y²-x+3y-1=0 represents a pair of perpendicular lines

A:

Q: (1) What is the relationship between the lines L1 and L2? where ) L1:x = 1-t, y = 4 +t, z = 2+3t…

A:

Q: Given that the standard from of a line is Ax +By =Upper C Upper B not equals 0 what is the slope of…

A: The given equation of straight line is

Q: What is the relationship between the lines L1 and L2 where L1:x = 1 + 7t , y = 3+t, z = 5 – 3t L2:x…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The temperature of a rectangular plate bounded by the lines x = ±1, y = ±1, is given by T = 2x2 −…

A:

Q: . Which of the following lines passes through the point (2, 5)? y = 2z – 1 y = 2z +1 y = 4z -2 y =…

A:

Q: 8 What is the slope of the line perpendicular to tne line represented by the equation 2x+4y = 12?…

A:

Q: (1) What is the relationship between lines 11 and 12? where L:x = 2, y = 1+2t, z = 1+t L2:x = 4 -t,…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Is there anything special about the relationship between the lines Ax + By = C1 and Bx - Ay = C2 (A…

A: To check the special about the relationship between the given lines.

Q: - For what value of k will the line kx + 5y = 2k be perpendicular to the line 2x - 3-y = 1?

A:

Q: 5. Evaluate - xy+3z)ds where C is the line starting at (1,1,1) and ending at (-1,-2,-3).

A:

Q: Find the equation of the line containing the point (5, 1) and perpendicular to the line y=-4x+2. 1 O…

A:

Q: Which of r = 2 sec θ and r = 2 csc θ defines a horizontal line?

A: we have to tell which of r = 2 sec θ and r = 2 csc θ defines a horizontal line.

Q: write down the equation of the pair of straight lines joining the origin to the points of…

A:

Q: Find the equation of the line that intersects the lines 2x + y – 1= 0 = x – 2y + 3z 3x – y + z + 2 =…

A: We have to find the equation of the line that intersects the given lines and parallel to the line…

Q: What is an equation of the line that passes through the point (–6, –6) and is paralle to the line x…

A:

Q: The distance from a point (2, y) to the line 4x + 3y =0 is equal to 5. Find the value of y.

A:

Q: find the distance from A(4, 6, -3) to the line x = 3t + 1, y = -t + 3, z = 6t

A:

Q: Thus, to find the slope of the secant line passing through P(2, 4) and Q(3, 3.), substitute x for x…

A: Topic:- Coordinate Geometry

Q: What is the equation of the line tangent to the curve 9x^2 + 25y^2 – 225 = 0 at (0, 3)?  a. x + 3 =…

A:

Q: Show that the equation of the line in R² can be written as х det 1 X1 У1 X2 У2.

A:

Q: What is the relationship between the lines L1 and L2? where L1:x = 1-t, y = 1+ 2t, z = 2-t L2:x =…

A: The given lines are:L1: x=1-t ; y=1+2t ; z=2-tL2: x=1+t ; y=1-t ; z=2-3t

Q: What is the value of such that the lines 3kx + 8y = 5 and 6y - 4kx = -1 are perpendicular and 3kx +…

A:

Q: * Let LIEX-54+10=D0 L2=4X+y-1-O be two lines. 1 Show that the lines L and Lz are not parallel.

A:

Q: Consider the following diagram of a transverse line to a pair of parallel lines, l1 and l2. (2x…

A: Given : l1 and l2 are parallel lines.

Q: How is the line y = 1 converted by mapping w = e? ?

A: In this question, we convert the line y=1 by mapping w=e^z.

Q: (1) What is the relationship between the lines L1 and L2? where L:x = 1-t, y = 4 + t, z = 2+3t L2:x…

A:

Q: 4. Find the equation for the line tangent to (persamaan garis şinggung) a. y= x2- 3 x + 5 at the…

A: The objective of the question is determine the equation of the tangent line.

Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

A:

Q: The slope of line I is x, and the slope of line m is x +2. If llm, what is x?

A: Perpendicular lines have slopes that are the opposite of the reciprocal of each other. in given…

Q: Prove that the equation 2x2+3xy-2y2-x+3y-1=0 represents a pair of perpendicular lines

A: Solution: The objective is to find whether the given equation represents a pair of perpendicular…

Q: 7 The equation of a line parallel to the line y =x+1 is:

A: Two lines are said to be parallel when slope of lines are equal Here given equation y = (7/3)x +1

Q: Find distance between two lines x = 1 + t, y = 1 + 6t, z = 2t and x = 1 + 2s, y = 5 + 15s, z = -2 +…

A:

Q: Find the distance between lines x + 3y = 5 and x + 3y = 25.

A: The distance between two parallel lines can be calculated using the formula,

Q: I thought at least meant greater than or equal to. Therefore the correct answer should have been A…

A: Here, the term used is at least $10,000.

Q: Find the point of intersection between the two lines: L:x 3t + 1, y = 2t - 1, z = t + 4 and L: 1 x-7…

A:

Q: For what values of a and b is the line 4x+y=b4x+y=b tangent to the curve y=ax3y=ax3 when x=5x=5? a=…

A:

Q: Evaluate (x + y) ds, where Cl is the line segment from (-2, 1, –5) to (-1, –1, –2).|

A:

Q: What is the relationship between the lines L1 and L2? where L:x =1+4t, y = 3-t, z = 1+t L2:x = -3t ,…

A:

Q: 13. Evaluate (2x + y + 3z) ds, where C is the straight line from (0, 1, 1) to (1,0, 1).

A: we have to evaluate

Q: Find the equaation of the pair of lines intersecting ar (2,-1) parallel to the pair 6x2-13xy-5y2=0

A:

Q: A line that is normal to the curve x^2+3xy-4y^2=0 at (6,6) intersects the curve at what other point?

A:

Q: What is equation of the line normal to graph of y = x^3 + 3x^2 + 7x - 1 at the point where x = -1? O…

A: Solving the problem by finding the normal of the given equation.

Q: What is the equation of a line that goes through the point (0, 2) and has a sloj y = - x + 2 y = 2x…

A:

Q: Find an equation of the line satisfying the following conditions. Through point (1, –5);…

A:

Q: suppose I tell you that the line ax+5y=7 is parallel to the line 4x-2y=11. What is a?

A: Given equation of the line 4x -2y = 11   .......(1)and another line 9x+5y = 7 .....(2)we find the…

Q: If ax +2hxy+by 0 represents two straight lines such that the slope of one %3D line is twice the…

A: We have to prove that

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.