# 10TH SAMACHEER KALVI SOLUTION FOR EXERCISE 5.4

This page 10th samacheer kalvi solution for exercise 5.4 is going to provide you solution for every problems that you find in the exercise no 5.4

## 10th samacheer kalvi solution for exercise 5.4

1. Write the equations of the straight lines parallel to x- axis which are at a distance of 5 units from the x-axis. Solution

2. Find the equations of the straight lines parallel to the coordinate axes and passing through the point (-5,-2).Solution

3. Find the equation of a straight line whose

(i) slope is -3 and y-intercept is 4.   Solution

(ii) angle of inclination is 60° and y-intercept is 3.  Solution

4. Find the equation of the line intersecting the y- axis at a distance of 3 units above the origin and tan θ = 1/2, where θ is the angle of inclination.  Solution

5. Find the slope and y-intercept of the line whose equation is

(i) y = x + 1   Solution

(ii) 5x = 3y    Solution

(iii) 4x - 2y + 1 = 0    Solution

(iv) 10x + 15y + 6= 0    Solution

6. Find the equation of the straight line whose

(i) slope is -4 and passing through (1, 2)  Solution

(ii) slope is 2/and passing through (5, -4)   Solution

7. Find the equation of the straight line which passes through the midpoint of the line segment joining (4, 2) and (3, 1) whose angle of inclination is 30° .  Solution

8. Find the equation of the straight line passing through the points

(i) (-2, 5) and (3, 6) (ii) (0, -6) and (-8, 2)  Solution

9. Find the equation of the median from the vertex R in a Δ PQR with vertices at P(1, -3), Q(-2, 5) and R(-3, 4). Solution

10. By using the concept of the equation of the straight line, prove that the given three points are collinear.

(i) (4, 2), (7, 5) and (9, 7) (ii) (1, 4), (3, -2) and (-3, 16) Solution

11. Find the equation of the straight line whose x and y-intercepts on the axes are given by

(i) 2 and 3  Solution

(ii) -1/3 and 3/2  Solution

(iii) 2/5 and -3/4  Solution

12. Find the x and y intercepts of the straight line

(i) 5x + 3y - 15 = 0 (ii) 2x - y + 16 = 0 (iii) 3x+10y+ 4 = 0  Solution

13. Find the equation of the straight line passing through the point (3, 4) and has intercepts which are in the ratio 3 : 2.  Solution

14. Find the equation of the straight lines passing through the point (2, 2) and the sum of the intercepts is 9.  Solution

15. Find the equation of the straight line passing through the point (5, -3) and whose intercepts on the axes are equal in magnitude but opposite in sign.  Solution

16. Find the equation of the line passing through the point (9, -1) and having its x-intercept thrice as its y-intercept.Solution

17. A straight line cuts the coordinate axes at A and B. If the midpoint of AB is (3, 2), then find the equation of AB.   Solution

18. Find the equation of the line passing through (22, -6) and having intercept on x-axis exceeds the intercept on y-axis by 5.   Solution

19. If A(3, 6) and C(-1, 2) are two vertices of a rhombus ABCD, then find the equation of straight line that lies along the diagonal BD.   Solution

20. Find the equation of the line whose gradient is 3/2 and which passes through P, where P divides the line segment joining A(-2, 6) and B (3, -4) in the ratio 2 : 3 internally  Solution

10th samacheer kalvi solution for exercise 5.4

After having gone through the stuff given above, we hope that the students would have understood "10th samacheer kalvi solution for exercise 5.4".

Apart from the stuff given above, if you want to know more about "10th samacheer kalvi solution for exercise 5.4", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6