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distance formuia two point formula midpoint formula, section formula (Hindi + English) |
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Defintion: all formulas of slope formula of a straight line |
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How to drive two point formula of slope language (Hindi + English ) |
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parallel lines, perpendicular lines and angles between two lines (Hindi + English).
Exercise 10.1
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Draw a quadrilateral in the Cartesian plane, whose vertices are... Also, find its area |
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The base of an equilateral triangle with side 2a lies along the y axis such that the |
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How to find distance between points parallel to x or y axis (Hindi + English) |
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Find a point on the x axis, which is equidistant from the points 7, 6 and 3, 4 |
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Find the slope of a line, which passes through the origin, and the mid point of the |
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Without using Pythagoras theorem, show that points are vertices of a right angled triangle. |
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Find the slope of the line which makes an angle of 30 with the positive direction of y-axis |
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Find the value of x for which the points (x, – 1), (2,1) and (4, 5) are collinear. |
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Without using distance formula, show that points are the vertices of a parallelogram. |
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Find the angle between the x-axis and the line joining the points (3,–1) and (4,–2). |
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Slope of line double of slope of another line If tangent of angle between them find slopes of lines |
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line passes through (x1, y1 ) and (h, k) If slope of the line is m, show that |
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If three points (h, 0), (a, b) and (0, k) lie on a line, show that a/h + b/k = 1 |
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Consider the following population and year graph find the slope of the line AB |
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slope point formula, two point formula, slope intercept formula of straight line (Hindi + English) |
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Intercept formula of straight line, formula of intercept form of a equation |
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Formula of normal form of a straight line equation using perpendicular distance and angle
Exercise 10.2
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find the equation of the line Passing through with slope and equations for the x-and y-axes. |
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find equation of line which Intersecting the x-axis at a distance of 3 units to the left |
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find the equation of the line Intersecting the y-axis at a distance of 2 units above |
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find the equation of line Passing through the points (–1, 1) and (2, – 4) |
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Find equation of line whose Perpendicular distance from origin 5 units and angle perpendicular 30. |
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Vertices of ∆ PQR are P, Q and R Find equation of median through vertex R |
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Find equation of line passing through (–3, 5) and perpendicular to line through points and |
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A line perpendicular to line segment joining points divides it in ratio 1: n. Find equation of line |
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Find equation of line that cuts off equal intercepts on coordinate axes and passes through point |
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Find equation of line passing through point and cutting off intercepts on axes whose sum is |
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Find equation of the line through the point (0, 2) making an angle 2π/3 |
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Perpendicular from origin to line meets it at point find equation of line |
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The length L in centimetrs of a copper rod is a linear function of its Celsius |
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Ncert solution maths class 11 Chapter 10 Exercise 10.2 Question 17 owner of a milk store finds that |
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P (a, b) is mid-point of a line segment between axes. Show that equation of line is x/a + y/b = 2 |
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Point R (h, k) divides a line segment between axes in ratio 1: 2. Find equation of line |
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How to prove that the three points are collinear By using the concept of equation of a line |
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Formula of general linear equation Ax + By + C = 0 |
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Perpendicular distance between a point and a line formula with examples |
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How to find distance between two parallel lines
Exercise 10.3
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Reduce equations into slope intercept form and find their slopes |
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convert equations into intercept form and find their intercepts on the axes |
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How to convert equations into normal form Find their perpendicular distances from the origin |
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Find the distance of the point (–1, 1) from the line 12(x + 6) = 5(y – 2) |
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Find the points on the x-axis, whose distances from the line x/3 + y/4 =1 are 4 units. |
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How to find distance between two parallel lines Examples |
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How to find equation of the line parallel to the line 3x- 4y + 2 = 0 and passing through the point |
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Find equation of the line perpendicular to the line x – 7y + 5 = 0 and having x intercept 3. |
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Find angles between the lines root 3 x + y = 1 and x + root 3 y = 1 |
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Find equation of the line perpendicular to the line x – 7y + 5 = 0 and having x intercept 3 |
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Prove that the line through the point and parallel to the line Ax + By + C = 0 is |
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Two lines passing through the point intersects each other at an angle of 60 |
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How to find equation of the right bisector of the line segment joining the points |
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How to find coordinates of the foot of perpendicular from the point |
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Perpendicular from origin to the line y = mx + c meets it at the point |
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prove that p^2 + 4q^2 = k^2 :If p and q are the lengths of perpendiculars from the origin |
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find the equation and length of altitude from the vertex A In the triangle ABC with vertices... |
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show that 1/p^2 = 1/a^2 + 1/b^2 If p is the length of perpendicular from the origin to the line
Miscellaneous Exercise on Chapter 10
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Find values of k for which the line is Parallel to x-axis Parallel to y-axis Passing through origin |
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Find the values of θ and p, if the equation x cos θ + y sinθ = p is the normal form |
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how to find equation of lines which cut off intercepts on the axes whose sum |
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How to calcualte points on the y axis whose distance from the line |
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How to find perpendicular distance from the origin of the line joining the points |
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How to find equation of the line parallel to y axis and drawn through the point of |
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How to find equation of a line drawn perpendicular to the line |
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Find the value of p so that the three lines 3x + y – 2 = 0, px + 2 y – 3 = 0 and |
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If three concurrent lines are given then show that |
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Find the equation of the lines through the point (3, 2) which make an angle of 45 |
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Find the equation of the line passing through the point of intersection of the lines |
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Show that the equation of the line passing through the origin and making an angle |
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in what ratio is the line segment joining the points (–1, 1) and (5, 7) divided line x + y = 4 |
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In what ratio line joining (–1, 1) and (5, 7) is divided by the line x + y = 4 |
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Find the image of the point with respect to the line x +3y = 7 assuming the |
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Prove that the product of the lengths of the perpendiculars drawn from the |
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A person standing at the junction crossing of two straight paths represented by |
