Class 10 CBSE Maths Quadratic Equation Boards Questions
Here we provide Class 10 Maths important notes,board questions and predicted questions with Answers for chapter Quadratic Equation. These important notes,board questions and predicted questions are based on CBSE board curriculum and correspond to the most recent Class 10 Maths syllabus. By practising these Class 10 materials, students will be able to quickly review all of the ideas covered in the chapter and prepare for the Class 10 Board examinations.
2016
Q1
Solve for x :
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1
/
(x - 1)(x - 2)
+
1
/
(x - 2)(x - 3)
=
2
/
3
, x ≠ 1,2,3
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2017
Q2
Solve for x :
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1
/
(x + 1)
+
2
/
(x + 2)
=
4
/
(x + 4)
, x ≠ -1, -2, -4
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Q3
The houses in a row are numbered consecutively from 1 to 49 show that there exists a value X such
that sum of number of houses preceding the house numbered X is equal to the sum of the number of
houses following X.
solutions
solutions
2018
Q4
A motorboat whose speed is 24 km/h in still water takes 1 hour more to go 32 km upstream than to
return downstream to the same spot. Find the speed of the stream.
solutions
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Q5
2 taps running together can fill a tank in 3 (1/13) hours. If one tap takes 3 hours more than the
other to fill the tank, then how much time will each tap take to fill the tank?
solutions
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Q6
If -5 is a root of the quadratic equations 2x2 + px - 15 = 0 and the quadratic equation
p(x2 + x)+ k = 0 has equal roots, find the value of k.
solutions
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2019
Q7
Find the value of p, for which one root of the quadratic equation px2 - 14x + 8 = 0 is 6
times the other.
solutions
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Q8
If ad ≠ bc, then prove that the equation
(a2 + b2)x2 + 2(ac + bd)x + (c2 + d2) = 0 has no real roots.
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(a2 + b2)x2 + 2(ac + bd)x + (c2 + d2) = 0 has no real roots.
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Q9
Solve for x :
solutions
1
/
x + 1
+
3
/
5x + 1
=
5
/
x + 4
, x ≠ -1, -(1/5), -4
solutions
2020
Q10
If x = 3 is one root of the quadratic equations x2 - 2kx - 6 = 0, then find the value of
k.
solutions
solutions
Q11
A plane left 30 minutes late than its schedule time and in order to reach the test nation 1500 km
away in time, it has to increase its speed by 100 km/hr from the usual speed. Find its usual speed.
solutions
solutions
Q12
(A) A motorboat whose speed is 18 km/hr install water takes one hour more to go 24 km upstream than
to return downstream to the same spot. Find the speed of the stream.
OR
(B) A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6 km/hr more than its original speed if it takes 3 hours to complete total journey. What is the original average speed?
solutions
(B) A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6 km/hr more than its original speed if it takes 3 hours to complete total journey. What is the original average speed?
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Q13
Find nature of the roots of quadratic equation 2x2 - 4x + 3 = 0
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Q14
Write all the values of p for which the quadratic equation x2 + px + 16 = 0 has equal
roots. Find the roots of the equation so obtained.
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solutions
Q15
If quadratic equation 3x2 - 4x + k = 0 has equal roots, then the value of k is ........
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solutions
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