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CBSE->Std 9 Questions

Total Questions 1962
How is paper made?
liquid generally have lower density as compared to solid.But you must have observed that ice floating on water.
ABCD is a square. X and Y are points on sides AD and BC respectivly such that AY=BX. Prove that (i) BY=AX (ii)<BAY=<ABX (answer the question with figure)
If two Straight lines are perpendicular to each other, is it nessosary that they should be parallel to each other. Justify the Answer with proper reasons
Triangle ABC is an isosceles Triangle in which AB=AC. Side BA is produced to D such that AD=AB. Prove that Angle BCD = 90 Degree (answer the question with proper figure and explanations.)
The volume of a cuboid is p(x)=8x^3+12x^2-2x-3. Find possible expressions for dimensions of a cuboid. Verify the result by taking x=5 units
Factorize x^3-6x^2+11x-6
ABCD is a square. X and Y are points on sides AD and BC respectivly such that AY=BX. Prove that (i) BY=AX (ii) <BAY=<ABX .
a+b+c=6, ab+bc+ca=11, Find the value of a^3+b^3+c^3-3abc.
If two Straight lines are perpendicular to each other, is it nessosary that they should be parallel to each other. Justify the Answer with proper reasons
If a+b+c=12, a^2+b^2+c^2=90, Find the value of a^3+b^3+c^3-3abc.
If remainder is same when polynomial p(x)=x^3+8x^2+17x+ax is divided by (x+2) and (x+1), Find the value of 'a'.
Triangle ABC is AN isosceles Triangle in which AB=AC. Side BA is produced to D such that AD=AB. Prove that Angle BCD = 90 Degree
Prove that the sum of any two sides of a triangle is greater than twice the median.
In triangle ABC, AD is the median drawn to side BC. Prove that AB+AC>2AD
Prove that sum of the three altitudes of a triangle is less than the sum of its three sides.
The volume of a cuboid is p(x)=8x^3+12x^2-2x-3. Find possible expressions for dimensions of a cuboid. Verify the result by taking x=5 units
Factorize x^3-6x^2+11x-6
Factorize (x+2)^2+p^2+2p(x+2)
what is FREE FALL?