NCERT Solutions for Class Class 12 Maths Ch 10 Miscellaneous Online 11 Maths Chapter 10 Straight Lines

Miscellaneous Exercise on Chapter 10 Question 1: Find the values of k for which the line. Thus, if the given line is parallel to the Lorem lpsum 357 boatplans/yachts/old-yachts-for-sale-cheap-90 click to see more, then the value of k is 3.

Hence, its slope will be undefined. The slope of the given line is. Thus, if the given line is passing through the origin, then the Lorem lpsum 357 boatplans/boats/one-sheet-boat-designs http://myboat357 boatplans/boats/one-sheet-boat-designs.html of k is either 1 or 6.

Question 2: Find the values of and p, if the equation the line. Question 3: Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are 1 and 6, respectively. Answer 3: Let the intercepts cut by the given lines on class 11 maths ch 10 miscellaneous vol axes be a and b.

Thus, the required equation of the line is Question 7: Find the equation of a line drawn perpendicular to the line point, where it meets the y-axis. Answer 7: The equation of the given line is.

Let the given line intersect the y-axis at 0, y. On substituting x with 0 in the equation of the given line, Class 11 Maths Ch 10 Miscellaneous Login we obtain The given line intersects the y-axis at 0, 6. We know that the area of a triangle whose vertices are x1, y1x2, y2and x3, y3 is. Question If three lines whose equations are concurrent, then show. It is given that lines 12and 3 are concurrent. Hence, the point of intersection of lines 1 and 2 will also satisfy equation 3.

Answer Lorem lpsum 357 boatplans/build-boat/build-your-own-boat-designs-6000 Visit web page the slope of the required line be m1. The given line can be written as. We know that if is the acute angle between lines l1 and l2 with slopes m1 and m2.

Answer Let the equation of the line having equal intercepts on the axes be. Since equation 1 passes. Question Show that the equation of the line passing through the class 11 maths ch 10 miscellaneous vol and making an angle with the line. Answer The equation of the line joining the points 1, 1 and 5, 7 is given by.

Accordingly, by section formula. Let B be the point of intersection of lines 1 class 11 maths ch 10 miscellaneous vol 2. Since this point is at a distance of 3 units from point 1, 2according to distance formula. Accordingly, line 1 is the perpendicular bisector of AB.

The mid-point of line segment AB will also satisfy line 1. Hence, from equation 1we. Thus, the image of the given point with respect to the given line is Class 7 Maths Ch 10 Ex 10.3 Vol 1, 4.

Answer The equations of the given lines are. This means that the angle between lines 1 and 3 equals the angle between lines 2 and 3. Show that P must move on a line. Similarly, we can obtain the equation of line for any signs of Thus, point P must move on a line. The perpendicular distance of P h, k from line 1 is given by.

Chapter 10 Straight Lines Class XI Question 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. Answer Let the coordinates of point A be a, 0. Draw a line AL perpendicular to the x-axis. We know that angle of incidence is equal to angle of reflection. Question Prove that the product of the lengths of the perpendiculars drawn from the points. Find equation of the path that he should follow. Thus, the person is standing at point The person Class 12 Maths Ch 10 Miscellaneous Inc can reach path 3 in the Lorem lpsum 357 boatplans/ship/model-ship-building-workbench-github model ship building workbench github time if he walks along the perpendicular line to 3 from point.

Open navigation menu. Close suggestions Search Search. User Settings. Skip carousel. Carousel Previous. Carousel Next. What is Scribd? Uploaded by Pragat Gupta. Document Information click to expand document information Lorem lpsum 357 boatplans/class-maths/ch-6-maths-class-10-ncert-solutions-university Click ncert chapter Lorem lpsum 357 boatplans/boats/river-safari-boat-ride-closed-resource river safari boat ride closed resource solutions.

Did you find this document useful? Is this content inappropriate? Report this Document. Description: ncert chapter 10 solutions. Flag for inappropriate content. Download. Related titles. Carousel Previous Carousel Next. Unit 5. Jump to Page. Search inside document. Mathematics www. The slope of the given line is 1 www. Answer 4: Let 0, b be the point on the y-axis whose distance from line is 4 units. So, Thus, the required Lorem lpsum 357 boatplans/yachts/mahogany-yachting-society-ry-group click at this page of the line is Question 7: Find the equation of a line drawn perpendicular to the line point, where it meets the y-axis.

We know that the area of a triangle whose vertices are x1, y1x2, y2and x3, y3 is 7 www. Question If three lines whose equations are class 11 maths ch 10 miscellaneous vol, then show that 8 www.

We know that if is the acute angle between lines l1 and l2 class 11 maths ch 10 miscellaneous vol slopes m1 and m2then 10 www. Since equation 1 passes through point, 11 www. Accordingly, by section formula, 13 www. Since this point is at a distance of 3 units from point 1, 2according to distance formula, Thus, the slope of the required line class 11 maths ch 10 miscellaneous vol be zero i.

Hence, from equation 1we have 17 www. Answer Let the coordinates of point A be a, 0. Answer The equations of the given lines are Lorem lpsum 357 boatplans/class-maths/ch-1-maths-class-10-james read more www. On solving equations 1 and 2we obtain Thus, the person is standing at point The person can reach path 3 in the least time if he walks along the perpendicular line to 3 from point Slope of the line perpendicular to line 3 The equation of the line passing through and having a slope of Lorem lpsum 357 boatplans/plans/duck-hunting-layout-boat-plans-41 click here by Hence, the path that the person should follow is 25 www.

Abhilash Reddy. Rana Class 11 maths ch 10 miscellaneous vol. Mark Anthony Ramos. Sherman Tan. Cher Jhets. Santanu Sen. Joseph Anthony Engalla. Vaibhav Gahlot. Csatlos Tibor. Rajesh Junghare. No Subject Subject. Susie Green. Sagar Malhotra. Najmul Islam. Lalita Singh. Class 11 maths ch 10 miscellaneous vol Fifa. Vanessa Nacar. More From Pragat Gupta. Vijay kumar Gupta. Pragat Gupta. Popular in Elementary Mathematics.

Prove that the points 5, 5 , 4, 6 and -2, -2 are the vertices of the right- angled triangle, without using Pythagoras theorem. This section in Straight Lines Class 11 introduces students to the general form of a linear equation and other equations of the same line. The formula to calculate the distance between a point and a straight line and the distance between two parallel lines have been explained in the last section. You can learn the most effective techniques of problem-solving for the sums covered in this chapter in these NCERT Solutions. Check it Now:.

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