In the figure, if ar `DeltaRAS = ar DeltaRBS and [ar (DeltaQRB) = ar(DeltaPAS)` then show that both the quadrilaterals PQSR and RSBA are trapeziums.

In the figure , AP || BQ || CR. Prove that ar (DeltaAQC) = ar (DeltaPBR) .

In the given figure, there are two circles with centers A and B. The common tangent to the circles touches them, respectively,at P and Q. AR is 40cm and AB is divided by the point of contact of the circles in the ratio 5:3 The length of QR is

In the given figure, there are two circles with centers A and B. The common tangent to the circles touches them, respectively,at P and Q. AR is 40cm and AB is divided by the point of contact of the circles in the ratio 5:3 The radius of the circle with center B is

In the given figure, there are two circles with centers A and B. The common tangent to the circles touches them, respectively,at P and Q. AR is 40cm and AB is divided by the point of contact of the circles in the ratio 5:3 What is the ratio of the length of AB to that of BR ?

In the figure, ABCD is a quadrilateral. AC is the diagonal and DE || AC and also DE meets BC produced at E. Show that ar(ABCD) = ar (DeltaABE).

Which element of the following has the highest ionisation potential? Na, Cl, Si and Ar.

Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2ar)andS(as^(2),2as) be distinct points on the parabola y^(2)=4ax . Suppose that PQ is the focal chord and lines QR and PK are parallel, where K the point (2a,0). If st=1, then the tangent at P and the normal at S to the parabola meet at a point whose ordinate is

Let O be the circumcentre and H be the orthocentre of an acute angled triangle ABC. If A gt B gt C , then show that Ar (Delta BOH) = Ar (Delta AOH) + Ar (Delta COH)

If alpha and beta are the roots of ar ax^(2) + bx + c = 0 from the equation where roots are (1)/(alpha) and (1)/(beta)