Ncert Solutions Class 9 Maths

Ncert Solutions Class 9 Maths

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1. Find k, If x-1 is a factor of   2x²+kx+2

2. Factorise : x³ – 3x² -9x -5
3. The angles of a quadrilateral are in the ratio 6:7:10:13. Find all the angles of the quadrilateral.
4. Sides of a triangle are in the ratio 12:17:25 and its perimeter is 540cm. Find its area.
5. A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.
6. Show that the diagonals of a square are equal and bisect each other at right angles.
7. Prove that the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle
8. Construct a frequency polygon for the following data:

Marks	0-10	10-20	20-30	30-40	40-50	50-60	60-70
Frequency	3	9	7	10	9	6	5

9. Show that if the diagonals of a quadrilateral are equal and bisects each other   at right angles, then it is a square.

10.  Find the coordinates of the point: (i) which lies on x and y axes both  (ii) whose ordinate is -4 and which lies on y-axis (iii) whose abscissa is 5 and which lies on x-axis.

11. If x + y + z =0, then find x³ + y³ +z³ .

12.  Find the area of a triangle two sides of which are 18cm each and the perimeter is 42cm.

13. A hemispherical dome of a building needs to be painted. If the circumference of the base of the dome is 17.6m, find the cost of painting it, given the cost of painting Rs 5 per 100m².

14.  Factorise: 216a³ + 343b³ + 756a²b + 882ab²

15.  If adjacent angles of a parallelogram measure (55+3a)⁰ and (115 – 2a)⁰,  then calculate the value of a.

16. If a = 2 and b= 3 then find (a^a + b^b)^-1

17.  A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.

18. If the coordinates of a point A are (-2,9) which can also be expressed as (1+x, y²) and  y >0, then find in which quadrant do the following points lie: P(y, x), S (2x , -3y).

19. Diameter of the base of a cone is 10.5 cm, and its slant height is 10 cm. Find its curved surface area. (Assume π=22/7)

20. Find the value of a & b so that the polynomial x³ – ax ² – 13x + b has (x-1) and (x+3) as factors.        

21. A capsule of medicine is in the shape of a sphere of diameter 2.1mm. How much medicine (in mm³) is needed to fill this capsule? (Assume π = 22/7)
22. Simplify: (256)^0.16 X (256)^0.09
23. If a + b + c = 9 and ab + bc + ca = 26, find a² + b² + c².
24. Sides of a triangle are in the ratio 12:17:25 and its perimeter is 540cm, find its area.
25. Prove that in an isosceles triangle altitude from the vertex bisects the base.

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Ncert Solutions Class 9 Maths

Ncert Solutions Class 9 Maths

Ncert Solutions Class 9 Maths