Class 10 Maths DPP
1. Find the zeroes of t2 – 25 = 0, also verify the relationship b/w ze'note and
coeff.
2. Find the value of a for which graph of ax2 + bx + c is an upward Parabola.
3. Find the sum and product of zeroes of Polynomial 3y² + 1 - 3√3y.
4. Find Quadratic Polynomial whose zeroes are 4√2 and -2√2.
5. Find Quadratic Polynomial whose zeroes are (5+√2)/2 and (5-√2)/2 ?
6. Find a Quadratic Polynomial in which one zero is 5 and sum of zeroes is
zero.
7. Form a Quadratic Polynomial in which one zero is 5+√2.
8. If α and β are zero of x²-3x+2 form a Polynomial with zeroes are reciprocal
of given zeroes.
9. If α, β are zeroes of y²-2y-2, find a Polynomial whose zeros are 2α+1,
2β+1.
10. If α, β are zeroes of 2x²+5x+1 then find the value of α+β+αβ.
11. If α, β are zeroes of 2n²-5n+3 find α/β + β/α. ii) 1/α + 1/β
12. If P(x)= 6x²+x-2 ,α, β are zeroes of it find the value of
i) α²β+β²α ii) α³+β³.
13. If 1 is a zero of ax²+bx+C (a≠0) then find the value of (b+c)/a.
CHAPTER - 3
1. Find the sum of intercept cut off by the line 3x+2y = 5 on co-ordinate axis.
2. For what value of K, (b,k) is a solution of 3x+y = 22.
3. If x=4 and y=3P-1 is a solution of x+y=8 and x-y=2. Find p.
4. Find the Point of intersection of y = 2 and 2x+3y = 5.
5. Find the value of x - y in which 2x+2y = 9, x-2y = 1.
6. If 2x +3y = 0 and 4x - 3y = 0. Find x+y.
7. Solve for x & y: √5 x +√7 y=0, √3 x-√2 y=0
8. If √a x - √b y = 0 and √b x - √a y = 0. Find xy.
9. If 2x = 8y-1 and 9y = 3x-b . Find x-y.
10. Solve for x and y: 31x + 29y = 89, 29x + 31y = 91.
11. Find the value of x + y, 152x - 378y = -78, -378x+152y=-604.
12. Find area of a triangle whose vertices are (3,2), (5,2) and (-7,2).
13. Find k for which equation has no solution,
kx + 2y - 1 = 0 and 5x - 3y + 2 = 0
14. Find k for which equation has infinite sol. 2x - 3y = 7,
(k+2) x - (2k+1) y = 3(2k-1).
15. Find m, If 2x + 3y – 5 = 0 and mx - 6y = 8 has unique solution.
CHAPTER 3
1. Solve the following √5x + √7y = 0, √3x - √2y = 0.
2. Find x & y If √x + √y = 7 and √x - √y = 1.
3. Solve 31x + 29y = 89 and 29x + 31y = 91.
4. Find area of Δ formed by x+y = 6 and co-ordinate axes.
5. Find the value of K for which given Equation has no solution
kx + 2y – 1 = 0 and 5x - 3y + 2 = 0
6. In a cyclic □ ABCD, ∠A= 6x + 10, ∠B = 5x , ∠C = x+y, ∠D = 3y-10. Find
x+y.
7. The larger of two supplementary angle exceeds the smaller by 18°
find the angle.
8. The sum of digits of a two digit No is 9. If 27 is added to it. Then digits of
the number get reversed. Find the number.
9. The sum of two number is 20 and their product is 75. Find the sum of their
reciprocals.
10. Two number are in the ratio 3:4. If 8 is added to each of number the ratio
become 4:5. Find the sum of numbers.
11. In the given rectangle find x & y.
12. Find the x & y in given rectangle.
CHAPTER - 3
1. Find the ratio of area of triangle formed by given lines with x-axis and y-
axis in the given figure.
2. Draw the graph of x - y + 2 = 0 and 4x - y - 4 = 0, also find area on x-axis.
3. The monthly income of A and B are in the ratio 9:7 and their monthly
expenditure are in the ratio 4:3. If each of them saves 1600 Rs per month.
Find their monthly income.
4. 37 markers and 53 Pens together cost 3200, while 53 marker and 37 pens
cost 4000 Rs. Find the cost of each marker and Pen.
5. A father is three times old as his son. After 12 years, he will be twice as old
as his son, find the age of father and son.
6. If 2 is added to the numerator of a fraction, it becomes 1/2 and if 1 is
subtracted from the denominator it becomes 1/3 find fraction.
7. If one number is twice the other and their sum is 117, then find larger
number.
8. Megha has only 1 rupee and 2 rupee coin. If total number of coins is 50. and
amount with her 755 find number of each coin.
QUADRATIC EQUATION
1. Find k. If 3x² + kx - 2 = 0 have equal roots.
2. find x If x + 1/x = 2
3. find x If (x + 2)(x - 2) = 8
4. If sum of two No is 8 and their product is 16.
5. If a Company makes certain Items in a day and each cost is 3 more than
2twice the Number of articles. If total cost is 90. find number of items.
6. If a train cover 360 km with a certain-speed. It takes 3 hour more if speed
were 8 km/h less, find speed of train.
7. Factorise
1. (x+2)/(x+1)= x/3. 2. 2x² + 2√3x - 6 = 0
8. Factorise 2x² - x + 1/8 = 0
9. Find k If roots are equal kx(kx - 2√5) + 10 = 0
10. If (1+m²) x² - 2mcx + (c² - a2) = 0 has equal root the prove that
c² = a²(1 + m²).
11. (b-c) x² + (c-a)x + (a-b) = 0 are equal roots. Then prove that 2b = a + c.
CHAPTER - 4
1. Find the discriminant of the equation 3√3x² + 10x + √3 = 0
2. If the sum of roots of equation x²−(k+6)n + 2(2k−3) = 0 is equal to the
half of their product, then find k.
3. Find the value of x, x + 1/x = 111/11
4. Find k for which kx (x−3) + 9 = 0 has equal roots.
5. Find k for which roots of equation 3x² − 10x + k = 0 are reciprocal of each
other.
6. The roots of equation kx² + 6x + 4k = 0 are equal find k.
7. The root of equation x² - 12x + p = 0 are in ratio 1 : 2, find p.
8. If x = 1 is a common root of equation ax² + ax + 3 = 0 and x² + x + 6 = 0
then find ab.
9. If sum of roots of equation x² − x = λ(2n−1) is zero, find λ.
10. If α and β are roots of 2x² + x − 6 = 0, then find a Quadratic equation
whose roots are 3α and 3β.
11. Find x√(13-x^2 ) = x + 5
12. If roots of equation 2x² + (4m + 1)x + 2(2m − 1) = 0 are reciprocal of
each other, find m.
13. If α, β are roots of x² − 4x + k = 0 and α² + β² = 40 then find k.
14. Find the value of x in x² − 2ax + a² − b² = 0
15. If α, β are roots of x² − 4x + 3 = 0 then find the value of α⁴β² + α²β⁴
1. Find the zeroes of t2 – 25 = 0, also verify the relationship b/w ze'note and
coeff.
2. Find the value of a for which graph of ax2 + bx + c is an upward Parabola.
3. Find the sum and product of zeroes of Polynomial 3y² + 1 - 3√3y.
4. Find Quadratic Polynomial whose zeroes are 4√2 and -2√2.
5. Find Quadratic Polynomial whose zeroes are (5+√2)/2 and (5-√2)/2 ?
6. Find a Quadratic Polynomial in which one zero is 5 and sum of zeroes is
zero.
7. Form a Quadratic Polynomial in which one zero is 5+√2.
8. If α and β are zero of x²-3x+2 form a Polynomial with zeroes are reciprocal
of given zeroes.
9. If α, β are zeroes of y²-2y-2, find a Polynomial whose zeros are 2α+1,
2β+1.
10. If α, β are zeroes of 2x²+5x+1 then find the value of α+β+αβ.
11. If α, β are zeroes of 2n²-5n+3 find α/β + β/α. ii) 1/α + 1/β
12. If P(x)= 6x²+x-2 ,α, β are zeroes of it find the value of
i) α²β+β²α ii) α³+β³.
13. If 1 is a zero of ax²+bx+C (a≠0) then find the value of (b+c)/a.
1. Find the zeroes of t2 – 25 = 0, also verify the relationship b/w ze'note and
coeff.
2. Find the value of a for which graph of ax2 + bx + c is an upward Parabola.
3. Find the sum and product of zeroes of Polynomial 3y² + 1 - 3√3y.
4. Find Quadratic Polynomial whose zeroes are 4√2 and -2√2.
5. Find Quadratic Polynomial whose zeroes are (5+√2)/2 and (5-√2)/2 ?
6. Find a Quadratic Polynomial in which one zero is 5 and sum of zeroes is
zero.
7. Form a Quadratic Polynomial in which one zero is 5+√2.
8. If α and β are zero of x²-3x+2 form a Polynomial with zeroes are reciprocal
of given zeroes.
9. If α, β are zeroes of y²-2y-2, find a Polynomial whose zeros are 2α+1,
2β+1.
10. If α, β are zeroes of 2x²+5x+1 then find the value of α+β+αβ.
11. If α, β are zeroes of 2n²-5n+3 find α/β + β/α. ii) 1/α + 1/β
12. If P(x)= 6x²+x-2 ,α, β are zeroes of it find the value of
i) α²β+β²α ii) α³+β³.
13. If 1 is a zero of ax²+bx+C (a≠0) then find the value of (b+c)/a.
