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Important question from linear equation. #class9 #mathematics #math #maths #linearequation

External division formula by vector method.

Important question from matrix transformation.

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Important question from co-ordinate geometry

If g(x)=2x-3, g•f(x)=2x+5 and f–¹(x)=2x-6, then find the value of x.

Prove that: Unit of electric resistance ohm = kgm³s–³A–².

Important question from the equation of the straight line.

Important question from equation of the straight line.

Important question from equation of the circle.

Important question from equation of the straight lines...

Important question from equation of circle.

If the no. of degrees of a certain angle is added to its grades is 152, find the angle in degrees.

In the parallelogram ABCD, AC and BD are diagonals. Prove that: vector(AC)+vector(BD) =2vector (BC).

In the given figure, C is the midpoint of AB. Show that: vector(OA)+vector (OB) = 2vector (OC).

Find the equation of the sides of ∆ABC whose vertices are A(0,1), B(-2,0) and C(1,0) respectively.

Simplify: 1/(1+ x^(a-b)) + 1/(1+x^(b-a))

Important question from probability.

Important question from compound interest.

The S.P of 12 eggs is equal to the C.P of 15 eggs. Find the gain percentage of this transaction.

Solve: (8^x + 27^x)/(12^x + 18^x) = 7/6

In the given figure, ABCD is a parallelogram. Where PQ//CD and RS//BC then prove that □PTRD=□SBQT.

If PQRS is a parallelogram, Q and S are joined to M on the diagonal PR, then prove that: ∆PQM=∆PSM.

In the given figure, STWO is a parallelogram, and IT=TO=OX. Prove that: ∆ SIX = 3 ∆ TWO.

Important question from geometry...

MN is the diameter of a circle and BD=CD, then prove that: angle OAD = angle OCD.

Prove that: sin(A-B)/cosA.cosB + sin(B-C)/cosB.cosC +sin(C-A)/cosA.cosC = 0.

In the given figure, ABCD is a cyclic quadrilateral. Where AB//DC then prove that: AC=BD.

If sin A= 1/√10 and sin B = 1/√5, then prove that: A+B = π/4.

If cos A + sin B = p and sin A + cos B = q, then prove that: cosec(A+B) = 2/(p²+q²-2)

Find the equation of a straight line that passes through (2,2) and the sum of its intercepts is 9.

Hexagonal theorem of the vector.

If sec A + tan A = x, then show that:- sin A = (x²-1)/(x²+1).

Prove that: cos³A.sin²A = 1/16(2cosA-cos3A-cos5A)

Internal division theorem of vector geometry...

If A+B+C=180⁰ then prove that: (sinA+sinB-sinC)/(sinA-sinB+sinC) = cotA/2.tanB/2

ABCD is a parallelogram, and G is the point of intersection of its diagonals. Then, prove that:

If ABCDE is a pentagon, then prove that: vector(AB)+vector(BC)+vector(CD)+vector(DE)+vector(EA)=0.

Prove vectorically that the angle at the circumference of a semi-circle is a right angle.

Prove that : (sec A + cosec A)² = (1+cot A)² + (1+tan A)²

Prove that the line joining the midpoints of the sides of the quadrilateral makes a parallelogram.

Mathematics magic 🪄🪄🪄

Vector theorem related to the median of a triangle.

Relation between the line joining the midpoint of any two sides of a triangle and its third side...

Centroid theorem from vector geometry...

Prove vectorically that the diagonals of a rectangle are equal.

Prove vectorically that the median of an isosceles triangle is perpendicular to the base.

Vector theorem related to right angled triangle.

Important question from height and distance.

The ratio of volumes of two spheres is 64:27. Find the ratio of their radii and their surface areas.

Question related to volume of sphere...

Find the equation of the separate lines represented by the equation x²+2xy cot 2A - y² = 0.

Problem related to ground and pole in height and distance.

Problem related to volume of lidless box and wood or metal.

Problem related to ground and flagstaff in height and distance.

If the equation 4x² - 3kx + 1 = 0 has two equal roots, what is the value of k ?

If the roots of the quadratic equation ax²+bx+c=0 are equal. Prove that: b² = 4ac.