2) The quadratic polynomial having zeroes as 1 and (-2) is: p(x) = _____. 

3) If one zero of 2x²-3x+k is reciprocal of the other, then the value of k is _____. 

4) If α & β are zeroes of x²-4x+1, then (1/α) + (1/β) - αβ is _____. 

5) The sum & the product of zeroes of a quadratic polynomial p(x) are -7 & -10 respectively. Then, p(x) is _____. 

6) If -4 is a zero of the polynomial x²-x-(2+2k), then the value of k is _____. 

7) At what point will the line represented by x-y=8 intersect the y-axis? 

8) If x=3m-1 & y=4 is a solution of the equation x+y=6, then find the value of m. 

9) The pair of linear equations 3x+4y+5=0 & 12x +16y+15=0 have: _____ solution(s). 

10) The condition for the pair of linear equations kx+3y+1=0; 2x+y+3=0 has exactly one solution is: k=__ (or) k!=__. 

11) If the sum of two positive numbers is 108, and the difference of these numbers is 8, then the required numbers are _____ and _____. 

12) If a pair of linear equations is consistent, then the lines will be _____ or _____. 

13) The pair of linear equations 2x-3y=5 & -6y+4x-10 has _____ number of solutions. 

14) If the product of two zeroes of the polynomial f(x) = 2x³+6x²-4x+9 is 3, then the polynomial's third zero is _____. 

15) The zeroes of the polynomial t²-15 are _____. 

16) If the sum of the zeroes of the quadratic polynomial 3x²-kx+6 is 3, then the value of k is _____. 

18) If one linear equation is 2x-3y+5=0, then another linear equation to have a parallel line as its geometrical construction will be _____. 

19) Find the value of x, if y=½x & 3x+4y=20. 

20) Solve 35x+23y=209 & 23x+35y=197. 

21) If 7x+9y=42 & 9x+7y=22, then x+y is _____. 

22) The difference between two numbers is 26 & one number is three times the other number. Then, the required numbers are _____ and _____. 

23) If α & β are the zeroes of the polynomial p(x) 3x²-10x+7, then the value of α²+β² is _____. 

24) The zeroes of the polynomial p(x)=x²+4x+3 are _____ & _____. 

25) If the pair of equations 3x-y+8=0 & 6x-ry+16=0 represent coincident lines, then the value of "r" is 

(a) (-1/2)     (b) (1/2) 

(c) (-2)     (d) (2)

26) Show that the points (-2,3), (8,3) & (6,7) are the vertices of a right-angled triangle. 

27) If Q(0,1) is equidistant from P(5,-3) & R(x,6), find the values of x. 

28) If 2x+3y=15 & 3x+2y=25, then the value of x-y is _____. 

29) The coordinates of the vertex D of a rectangle ABCD whose three vertices are given as A(0,4), B(0,0), and C(3,0) are _____. 

30) If the system of linear equations 2x+3y=7 & 2ax+(a+b)y=28 have an infinite number of solutions, then find the values of "a" & "b". 

31) The sum of a two-digit number & the number obtained by interchanging the digits is 132. If the two digits differ by 2, find the number(s). 

32) Solve 3x+5y=7 & 11x-13y=9. 

33) Draw the graphs of the following pair of linear equations: 4x-3y-6=0 & x+3y-9=0. Determine the coordinates of the vertices of the triangle formed by the lines represented by these equations and the y-axis. 

34) Solve the following pair of equations graphically: 2x+3y=12 & x-y-1=0. Also, shade the region between the two lines represented by the above equations & the x-axis. 

35) Find the zeroes of the quadratic polynomial x²+7x+10, and verify the relationship between the zeroes & polynomial's coefficients. 

36) Three vertices of a parallelogram ABCD are A(1,2), B(2,4) & C(3,7). Find the coordinates of the fourth vertex D. 

37) If two vertices of a parallelogram are (3,2) & (-1,0) & the diagonals intersect at (2,-5), then find the other two vertices. 

38) Find the ratio in which the point (-6,a) divides the join of A(-3,-1) &B(-8,9). Also, find the value of a. 

39) Find the values of "a" for which the distance between the points P(2,-3) & Q(10,a) is 10 units. 

40) Find the point on the x-axis which is equidistant from (2,-5) and (-2,9).