Class XI Straight Lines
Three points P(h, k), Q(x_1,y_1) & R(x_2, y_2) lie on a line. Show that (h-x_1).(y_2-y_1)=(k-y_1 ).(x_2-x_1 )
Previous Videos related to this chapter are mentioned in the below link:
10.3 Q4: • Find the distance of the point (–1, 1) fro...
10.3 Q5: • Find the points on the x-axis, whose dista...
10.3 Q10: • The line through the points (𝒉, 3) and (4,...
10.3 Q14: • Find the coordinates of the foot of perpen...
10.3 Q16: • If p and q are the lengths of perpendicula...
10.3 Q18: • If p is the length of perpendicular from t...
Example 24: • A line is such that its segment between th...
Misc. Q10: • If three lines whose equations are 𝒚=𝒎_𝟏 𝒙...
Misc. Q13: • Show that the equation of the line passing...
Misc. Q15: • Find the distance of the line 𝟒𝒙+𝟕𝒚+𝟓=𝟎 fr...
Misc. Q18: • Find the image of the point (3, 8) with re...
Misc. Q23: • Prove that the product of the lengths of t...
Misc. Q24: • A person standing at the junction (crossin...
CONCEPT: DISTANCE BETWEEN PARALLEL LINES: • CONCEPT: DISTANCE BETWEEN PARALLEL LINES
Misc. Q05: • Find perpendicular distance from the origi...
Example 25: • Show that the path of a moving point such ...
Example 20: • If the lines 𝟐𝒙+𝒚−𝟑=𝟎, 𝟓𝒙+𝒌𝒚−𝟑=𝟎 and 𝟑𝒙−𝒚−...
Example 23: • Show that the area of the triangle formed ...
INTRODUCTION TO STRAIGHT LINES: • INTRODUCTION TO STRAIGHT LINES
Example 2: • If the angle between two lines is 𝝅/𝟒 and ...
Q: Find slope of the line which makes an angle of 30° with positive direction of y-axis measured anticlockwise.: • Find slope of the line which makes an angl...
Q: One side of a square makes an angle α with x- axis and one vertex of the square is at the origin. Prove that the equation of its diagonals are x(sinα+cosα )=y(cosα-sinα ): • One side of a square makes an angle α with...
CONCEPT: VARIOUS FORMS OF EQUATION OF A LINE: • CONCEPT: VARIOUS FORMS OF EQUATION OF A LINE
10.2 | Q9: The vertices of Δ PQR are P (2, 1), Q (–2, 3) and R (4, 5). Find equation of the median through the vertex R. • The vertices of Δ PQR are P (2, 1), Q (–2,...
10.2 | Q11: A line perpendicular to the line segment joining the points (1, 0) and (2, 3) divides it in the ratio 1: n. Find the equation of the line. • A line perpendicular to the line segment j...
Q: Find the coordinates of vertices of a square inscribed in the ∆ with vertices A(0, 0), B(2, 1) & C(3, 0); given that two of its vertices are on the side AC.: • Find the coordinates of vertices of a squa...
Q: Show that the locus of the mid point of the segment intercepted between the axes of the variable line x cosα+y sinα=β is 1/x^2 +1/y^2 =4/p^2 ; where p is a constant.: • Show that the locus of the mid point of th...
Q: Find equation of line which passes through P(1, -7) & meets the axes at A & B respecting so that 4AP-3BP=0. • Find equation of line which passes through...
CONDITION OF CONCURRENCY OF THREE LINES: • CONDITION OF CONCURRENCY OF THREE LINES
Q: If a, b, c are in A.P., prove that the straight lines:
l_1: ax+2y+1=0
l_2: bx+3y+1=0
l_3: cx+4y+1=0
are concurrent.: • If a, b, c are in A.P., prove that the str...
Q: Find the image of the point (-8, 12) with respect to the line mirror 4x+7y+13=0. • Find the image of the point (-8, 12) with ...
Q: The equations of two sides of a ∆ are 3x-2y+6=0 & 4x+5y-20=0 & the orthocenter is (1,1). Find the equation of 3rd side of ∆. • The equations of two sides of a ∆ are 3x-2...
Q: Find the area of ∆ formed by lines y=x, y=2x, y=3x+4. • Find the area of ∆ formed by lines y=x, y=...
Q: Find value of m for which the lines mx+(2m+3)y+m+6=0 & (2m+1)x+(m-1)y+m-9=0 intersect at a point on y-axis. • Find value of m for which the lines mx+(2m...
Q: Find equation of line parallel to y-axis & drawn through point of intersection of lines x-7y+5=0 & 3x+y=0. • Find equation of line parallel to y-axis &...
Q: Two consecutive sides of parallelogram are 4x+5y=0 & 7x+2y=0. If the equation of its diagonal is 11x+7y=9. Find the equation of other diagonal. • Two consecutive sides of parallelogram are...
Q: A straight line L is ⊥^r to the line 5x-y=1. The area of ∆ formed by L & the coordinate axes is 5 square units. Find the equation of line L. • A straight line L is ⊥^r to the line 5x-y=...
Q: Find the circumcenter of the ∆ whose sides are: • Find the circumcenter of the ∆ whose sides...
3x-1y+03=0
3x+4y+03=0
1x+3y+11=0
Q: Find the equation of right bisector of line segment joining the points (3,4) & (-1, 2) • Find the equation of right bisector of lin...
Concept – Distance of a point from a line • Concept – Distance of a point from a line....
Concept- Collinearity of 3 points • Concept- Collinearity of 3 points
Q: Find the distance of the point (3, -5) from line 3x-4y-26=0 • Find the distance of the point (3, -5) fro...
Q: Find the slope of line passing through the line • Find the slope of line passing through the...
a) (3,-2), (-1, 4)
b) (3, -2), (7,-2)
c) (3, -2), (3, 4)
d) making implication of 60° with positive direction of x – axis
Q In fig. time and distance graph of linear motion is given using slope , find law of motion i.e how distance depends on time.: • In fig. time and distance graph of linear ...
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