How do you find the sum of slopes?

Both lines pass through the origin. The slope of a line is y/x. This is a quadratic equation with respect to y/x. The sum of its roots (which are slopes) is =-2h/b, their product is a/b.

What is the condition that the lines represented by ax2 2hxy by2 0 may be perpendicular to each other?

Condition that the two lines represented by the equation ax2 + 2hxy + by2 = 0 to be perpendicular is. Given lines are perpendicular. Hence option (2) is the answer.

How do you find the slope of a pair of lines?

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .

What is the value of the ratio H 2 ): AB where the ratio of gradients of the lines is represented by ax 2 )+ 2hxy by 2 )= 0 is 1 3?

If the ratio of gradients of the lines represented by ax2 + 2hxy + by2 = 0 is 1 : 3, then the value of the ratio h2 : ab is. Hence option (3) is the answer.

How do you find the product of two slopes?

You can also check the two slopes to see if the lines are perpendicular by multiplying the two slopes together. If they are perpendicular, the product of the slopes will be −1. For example, . Find the slope of a line perpendicular to the line y = 2x – 6.

What is the formula of product of slope?

Thus, for two lines to be perpendicular the product of their slope must be equal to -1. If the equations of the two lines are given by ax + by + c = 0 and a’ x + b’ y + c’ = 0, then they are perpendicular if, aa’+ bb’ = 0.

What is the angle between the pair of lines represented by ax 2 2hxy by 2?

45o
The angle between the lines represented by the equation ax2 + xy + by2 = 0 will be 45o, if.

Which of the following is the condition for the line pair ax 2 2hxy by 2 0 to be coincident *?

Hence, two straight lines represented by the equation ax2 + 2hxy + by2 = 0 are coincident ifh2 = ab.

How do you find slope with 2 points?

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values. The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.

What is the angle between straight lines?

If one of the line is parallel to y-axis then the angle between two straight lines is given by tan θ = ±1/m where ‘m’ is the slope of the other straight line.

What is the relationship between two lines whose slopes are and 1 3?

Explanation: Perpendicular slopes are opposite reciprocals of each other. The perpendicular slope of a positive slope must be negative, and vice versa. The opposite of 13 is −13 , the reciprocal of −13 is −3 .