Simplify : 15×(−25)×(−4)×(−10)
Show that the area of the triangle formed by the lines y=m1x+c1,y=m2x+c2and x=0is 2∣m1−m2∣(c1−c2)2
If the sum of the slopes of the lines given by x2−2cxy−7y2=0 is four times their product, then the value of c is_____
If one of the lines given by the equation 2x2+pxy+3y2=0 coincide with one of those given by 2x2+qxy−3y2=0 and the other lines represented by them are perpendicular, then (a)p=5 (b) p=−5 (c)q=−1 (d) q=1
The condition that one of the straight lines given by the equation ax2+2hxy+by2=0 may coincide with one of those given by the equation aprimex2+2hprimexy+bprimey2=0 is (abprime−aprimeb)2=4(haprime−hprimea)(bhprime−bprimeh) (abprime−aprimeb)2=(haprime−hprimea)(bhprime−bprimeh) (haprime−hprimea)2=4(abprime−aprimeb)(bhprime−bprimeh) (bhprime−bprimeh)2=4(abprime−aprimeb)(haprime−hprimea)
The owner of a milk store finds that, he can sell 980 litres of milk each week at Rs 14/litre and 1220 litres of milk each week at Rs 16 / litre. Assuming a linear relationship between selling price and demand, how many litres could he sell weekly at Rs 17 / litre?