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LET US DO SOME PRACTICE QUESTIONS
- If p and q are natural numbers and p is multiple of q then what is the HCF of p and q ?
- What is the ratio of HCF and LCM of the least composite number and the least prime number ?
- Pove that 2 + 5 is irrational ?
- The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they change simultaneously at 7:00 a.m, at what time will they change together next?
- If a and b are zeros of the polynomial P(x) = x² -ax-b , then find the value of a² + b².
- Find the zeros of the polynomial x² – 3x – m(m+3).
- If the sum of the rules of the quadratic equation ky² -11y+(k-23)=0 is 13/21, more than the product of the roots, then find the value of k .
- Find the value of k such that the polynomial x² -(k+6)x +2(2k-1) has sum of its zeros equal to half of the product.
- Find the solutions of the pair of equations x+y = a+b and ax – by=a²- b².
- Two people are 16 km apart on a straight road. They start working at the same time, if they walk towards each other with different speeds they will meet in 2 hours. Had they walked In the same direction with the same speeds as before, they would have met in 8 hours. Find their working speeds.
- A two digit number is 7 times the sum of its digits. The number formed by reversing the digits is 18 less than the given number. Find the given number.
- For what value of m, the quadratic equation mx² -2(m-1)x +(m+2) =0 has two real and equal roots?
- A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km per hour less, then it would have taken 3 hours more to cover the same distance. Find the usual speed of the train.
- The sum of two numbers is 34. If 3 is subtracted from one number and 2 is added to another, the product of these two numbers becomes 260. Find the numbers.
- In an AP, if the sum of third and seventh term is zero then find its 5th term.
- Find the 11th term from the last of the AP 12,8,4,……….,-84.
- The 16th term of an AP is one more than twice its 8th term. If the 12th term of the AP is 47, then find its nth term.
- If the sum of first 6 terms of an AP is 36 and that of the first 16 terms is 256, find the sum of first 10 terms.
- Solve the equation : 1+5+9+13+……..+x = 1326.
- The sum of first 7 terms of an AP is 182. If its fourth term and the 17th term are in the ratio 1:5, find the AP.
- The sum of first 7 terms of an AP is 182. If its fourth term and the 17th term are in the ratio 1:5, find the AP.
- Through the mid-point M of the side CD of a parallelogram ABCD, the line BM is drawn intersecting AC in L and AD (produced) in E. Prove that EL= 2BL.
- PA, QB and RC are each perpendicular to AC. If AP=x , QB= z, RC =y, AB=a and and BC = b , then prove that 1/x + 1/y = 1/z .
- The top of two poles of heights 20 m and 28m are connected with a wire. The wire is inclined to the horizontal at an angle of 30 degree. Find the length of the wire and the distance between the two poles.
- From the top of a tower 100m high, a man observes two cars on the opposite side of the tower with angle of depressions 30 degree and 45 degree respectively. Find the distance between the cars.
- A man in a Boat rowing away from a Lighthouse 100m high,takes 2 minutes to change the angle of elevation of the top of the Lighthouse from 60 degree to 30 degree. Find the speed of the boat in metre per minute.
- From an external point, two tangents are drawn to a circle. Prove that the line joining the external point to the centre of the circle bisect the angle between the two tangents.
- A circle touches the side BC of a triangle ABC at a point P and touches AB and AC when produced at Q and R respectively. Show that AQ=1/2 of the perimeter of triangle ABC.
- Tangers PA and PB are drawn from an external point P to two concentric circles with Centre O and radii 8 cm and 5 cm respectively, IfAP = 15cm,then find the length of BP.
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- Class 10 Maths Ncert Solutions
- Class 10 Maths Ncert Solutions
- Class 10 Maths Ncert Solutions
- Class 10 Maths Ncert Solutions
- Class 10 Maths Ncert Solutions
- Class 10 Maths Ncert Solutions
Class 10 Maths Ncert Solutions
